[{"citation":{"chicago":"Rösler, Margit, and Michael Voit. “Limit Theorems for Radial Random Walks on p × Q-Matrices as p Tends to Infinity.” <i>Mathematische Nachrichten</i> 284, no. 1 (2011): 87–104. <a href=\"https://doi.org/10.1002/mana.200710235\">https://doi.org/10.1002/mana.200710235</a>.","short":"M. Rösler, M. Voit, Mathematische Nachrichten 284 (2011) 87–104.","ieee":"M. Rösler and M. Voit, “Limit theorems for radial random walks on p × q-matrices as p tends to infinity,” <i>Mathematische Nachrichten</i>, vol. 284, no. 1, pp. 87–104, 2011, doi: <a href=\"https://doi.org/10.1002/mana.200710235\">10.1002/mana.200710235</a>.","apa":"Rösler, M., &#38; Voit, M. (2011). Limit theorems for radial random walks on p × q-matrices as p tends to infinity. <i>Mathematische Nachrichten</i>, <i>284</i>(1), 87–104. <a href=\"https://doi.org/10.1002/mana.200710235\">https://doi.org/10.1002/mana.200710235</a>","bibtex":"@article{Rösler_Voit_2011, title={Limit theorems for radial random walks on p × q-matrices as p tends to infinity}, volume={284}, DOI={<a href=\"https://doi.org/10.1002/mana.200710235\">10.1002/mana.200710235</a>}, number={1}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Rösler, Margit and Voit, Michael}, year={2011}, pages={87–104} }","ama":"Rösler M, Voit M. Limit theorems for radial random walks on p × q-matrices as p tends to infinity. <i>Mathematische Nachrichten</i>. 2011;284(1):87-104. doi:<a href=\"https://doi.org/10.1002/mana.200710235\">10.1002/mana.200710235</a>","mla":"Rösler, Margit, and Michael Voit. “Limit Theorems for Radial Random Walks on p × Q-Matrices as p Tends to Infinity.” <i>Mathematische Nachrichten</i>, vol. 284, no. 1, Wiley, 2011, pp. 87–104, doi:<a href=\"https://doi.org/10.1002/mana.200710235\">10.1002/mana.200710235</a>."},"user_id":"93826","volume":284,"page":"87-104","publisher":"Wiley","_id":"39921","status":"public","keyword":["General Mathematics"],"type":"journal_article","department":[{"_id":"555"}],"date_created":"2023-01-25T09:30:21Z","extern":"1","publication":"Mathematische Nachrichten","issue":"1","doi":"10.1002/mana.200710235","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-01-26T17:50:51Z","intvolume":"       284","title":"Limit theorems for radial random walks on p × q-matrices as p tends to infinity","year":"2011","author":[{"id":"37390","last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"publication_identifier":{"issn":["0025-584X"]}},{"keyword":["General Mathematics"],"type":"journal_article","department":[{"_id":"102"}],"date_created":"2022-12-23T09:08:00Z","abstract":[{"lang":"eng","text":"We prove that the distribution of the values of the 4-rank of ideal class groups of quadratic fields is not affected when it is weighted by a divisor type function. We then give several applications concerning a new lower bound of the sums of class numbers of real quadratic fields with discriminant less than a bound tending to infinity and several questions of P. Sarnak concerning reciprocal geodesics."}],"issue":"16","publication":"International Mathematics Research Notices","doi":"10.1093/imrn/rnq223","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-03-06T09:07:46Z","intvolume":"      2011","title":"Weighted Distribution of the 4-rank of Class Groups and Applications","year":"2011","author":[{"first_name":"Étienne","last_name":"Fouvry","full_name":"Fouvry, Étienne"},{"id":"21202","first_name":"Jürgen","last_name":"Klüners","full_name":"Klüners, Jürgen"}],"publication_identifier":{"issn":["1687-0247","1073-7928"]},"citation":{"mla":"Fouvry, Étienne, and Jürgen Klüners. “Weighted Distribution of the 4-Rank of Class Groups and Applications.” <i>International Mathematics Research Notices</i>, vol. 2011, no. 16, Oxford University Press (OUP), 2011, pp. 3618–56, doi:<a href=\"https://doi.org/10.1093/imrn/rnq223\">10.1093/imrn/rnq223</a>.","ama":"Fouvry É, Klüners J. Weighted Distribution of the 4-rank of Class Groups and Applications. <i>International Mathematics Research Notices</i>. 2011;2011(16):3618-3656. doi:<a href=\"https://doi.org/10.1093/imrn/rnq223\">10.1093/imrn/rnq223</a>","bibtex":"@article{Fouvry_Klüners_2011, title={Weighted Distribution of the 4-rank of Class Groups and Applications}, volume={2011}, DOI={<a href=\"https://doi.org/10.1093/imrn/rnq223\">10.1093/imrn/rnq223</a>}, number={16}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2011}, pages={3618–3656} }","apa":"Fouvry, É., &#38; Klüners, J. (2011). Weighted Distribution of the 4-rank of Class Groups and Applications. <i>International Mathematics Research Notices</i>, <i>2011</i>(16), 3618–3656. <a href=\"https://doi.org/10.1093/imrn/rnq223\">https://doi.org/10.1093/imrn/rnq223</a>","ieee":"É. Fouvry and J. Klüners, “Weighted Distribution of the 4-rank of Class Groups and Applications,” <i>International Mathematics Research Notices</i>, vol. 2011, no. 16, pp. 3618–3656, 2011, doi: <a href=\"https://doi.org/10.1093/imrn/rnq223\">10.1093/imrn/rnq223</a>.","chicago":"Fouvry, Étienne, and Jürgen Klüners. “Weighted Distribution of the 4-Rank of Class Groups and Applications.” <i>International Mathematics Research Notices</i> 2011, no. 16 (2011): 3618–56. <a href=\"https://doi.org/10.1093/imrn/rnq223\">https://doi.org/10.1093/imrn/rnq223</a>.","short":"É. Fouvry, J. Klüners, International Mathematics Research Notices 2011 (2011) 3618–3656."},"user_id":"93826","volume":2011,"page":"3618-3656","publisher":"Oxford University Press (OUP)","_id":"34885","status":"public"},{"citation":{"mla":"van Hoeij, Mark, et al. “Generating Subfields.” <i>Journal of Symbolic Computation</i>, vol. 52, Elsevier BV, 2011, pp. 17–34, doi:<a href=\"https://doi.org/10.1016/j.jsc.2012.05.010\">10.1016/j.jsc.2012.05.010</a>.","ama":"van Hoeij M, Klüners J, Novocin A. Generating subfields. <i>Journal of Symbolic Computation</i>. 2011;52:17-34. doi:<a href=\"https://doi.org/10.1016/j.jsc.2012.05.010\">10.1016/j.jsc.2012.05.010</a>","bibtex":"@article{van Hoeij_Klüners_Novocin_2011, title={Generating subfields}, volume={52}, DOI={<a href=\"https://doi.org/10.1016/j.jsc.2012.05.010\">10.1016/j.jsc.2012.05.010</a>}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={van Hoeij, Mark and Klüners, Jürgen and Novocin, Andrew}, year={2011}, pages={17–34} }","apa":"van Hoeij, M., Klüners, J., &#38; Novocin, A. (2011). Generating subfields. <i>Journal of Symbolic Computation</i>, <i>52</i>, 17–34. <a href=\"https://doi.org/10.1016/j.jsc.2012.05.010\">https://doi.org/10.1016/j.jsc.2012.05.010</a>","ieee":"M. van Hoeij, J. Klüners, and A. Novocin, “Generating subfields,” <i>Journal of Symbolic Computation</i>, vol. 52, pp. 17–34, 2011, doi: <a href=\"https://doi.org/10.1016/j.jsc.2012.05.010\">10.1016/j.jsc.2012.05.010</a>.","chicago":"Hoeij, Mark van, Jürgen Klüners, and Andrew Novocin. “Generating Subfields.” <i>Journal of Symbolic Computation</i> 52 (2011): 17–34. <a href=\"https://doi.org/10.1016/j.jsc.2012.05.010\">https://doi.org/10.1016/j.jsc.2012.05.010</a>.","short":"M. van Hoeij, J. Klüners, A. Novocin, Journal of Symbolic Computation 52 (2011) 17–34."},"page":"17-34","_id":"34846","publisher":"Elsevier BV","user_id":"93826","volume":52,"status":"public","date_created":"2022-12-22T10:54:15Z","type":"journal_article","keyword":["Computational Mathematics","Algebra and Number Theory"],"department":[{"_id":"102"}],"publication":"Journal of Symbolic Computation","abstract":[{"lang":"eng","text":"Given a field extension K/k of degree n we are interested in finding the subfields of K containing k. There can be more than polynomially many subfields. We introduce the notion of generating subfields, a set of up to n subfields whose intersections give the rest. We provide an efficient algorithm which uses linear algebra in k or lattice reduction along with factorization in any extension of K. Implementations show that previously difficult cases can now be handled."}],"language":[{"iso":"eng"}],"doi":"10.1016/j.jsc.2012.05.010","year":"2011","title":"Generating subfields","publication_identifier":{"issn":["0747-7171"]},"author":[{"last_name":"van Hoeij","first_name":"Mark","full_name":"van Hoeij, Mark"},{"full_name":"Klüners, Jürgen","first_name":"Jürgen","last_name":"Klüners","id":"21202"},{"first_name":"Andrew","last_name":"Novocin","full_name":"Novocin, Andrew"}],"publication_status":"published","date_updated":"2023-03-06T09:46:15Z","intvolume":"        52"},{"citation":{"bibtex":"@article{Kirschmer_2011, title={Finite Symplectic Matrix Groups}, volume={20}, DOI={<a href=\"https://doi.org/10.1080/10586458.2011.564964\">10.1080/10586458.2011.564964</a>}, number={2}, journal={Experimental Mathematics}, publisher={Informa UK Limited}, author={Kirschmer, Markus}, year={2011}, pages={217–228} }","ama":"Kirschmer M. Finite Symplectic Matrix Groups. <i>Experimental Mathematics</i>. 2011;20(2):217-228. doi:<a href=\"https://doi.org/10.1080/10586458.2011.564964\">10.1080/10586458.2011.564964</a>","mla":"Kirschmer, Markus. “Finite Symplectic Matrix Groups.” <i>Experimental Mathematics</i>, vol. 20, no. 2, Informa UK Limited, 2011, pp. 217–28, doi:<a href=\"https://doi.org/10.1080/10586458.2011.564964\">10.1080/10586458.2011.564964</a>.","chicago":"Kirschmer, Markus. “Finite Symplectic Matrix Groups.” <i>Experimental Mathematics</i> 20, no. 2 (2011): 217–28. <a href=\"https://doi.org/10.1080/10586458.2011.564964\">https://doi.org/10.1080/10586458.2011.564964</a>.","short":"M. Kirschmer, Experimental Mathematics 20 (2011) 217–228.","ieee":"M. Kirschmer, “Finite Symplectic Matrix Groups,” <i>Experimental Mathematics</i>, vol. 20, no. 2, pp. 217–228, 2011, doi: <a href=\"https://doi.org/10.1080/10586458.2011.564964\">10.1080/10586458.2011.564964</a>.","apa":"Kirschmer, M. (2011). Finite Symplectic Matrix Groups. <i>Experimental Mathematics</i>, <i>20</i>(2), 217–228. <a href=\"https://doi.org/10.1080/10586458.2011.564964\">https://doi.org/10.1080/10586458.2011.564964</a>"},"status":"public","_id":"42798","publisher":"Informa UK Limited","page":"217-228","volume":20,"user_id":"93826","publication":"Experimental Mathematics","issue":"2","extern":"1","abstract":[{"lang":"eng","text":"This paper classifies the maximal finite subgroups of SP₂ₙ(Q) for 1⩽n⩽11 up to GL₂ₙ(Q) conjugacy in ."}],"date_created":"2023-03-07T08:36:46Z","department":[{"_id":"102"}],"type":"journal_article","keyword":["General Mathematics"],"publication_identifier":{"issn":["1058-6458","1944-950X"]},"author":[{"full_name":"Kirschmer, Markus","first_name":"Markus","last_name":"Kirschmer","id":"82258"}],"year":"2011","title":"Finite Symplectic Matrix Groups","intvolume":"        20","publication_status":"published","date_updated":"2023-04-04T09:24:42Z","language":[{"iso":"eng"}],"doi":"10.1080/10586458.2011.564964"},{"date_created":"2023-05-31T12:09:05Z","keyword":["Applied Mathematics","Computational Mechanics"],"type":"journal_article","department":[{"_id":"9"},{"_id":"154"}],"issue":"S1","publication":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","language":[{"iso":"eng"}],"doi":"10.1002/zamm.20000801341","title":"Parameter Identification of Constitutive Models for Fluidsaturated Porous Media within an FE-Setting","year":"2011","publication_identifier":{"issn":["0044-2267"]},"author":[{"id":"335","last_name":"Mahnken","first_name":"Rolf","full_name":"Mahnken, Rolf"},{"first_name":"P.","last_name":"Steinmann","full_name":"Steinmann, P."}],"date_updated":"2023-05-31T12:09:41Z","publication_status":"published","intvolume":"        80","citation":{"mla":"Mahnken, Rolf, and P. Steinmann. “Parameter Identification of Constitutive Models for Fluidsaturated Porous Media within an FE-Setting.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i>, vol. 80, no. S1, Wiley, 2011, pp. 161–64, doi:<a href=\"https://doi.org/10.1002/zamm.20000801341\">10.1002/zamm.20000801341</a>.","bibtex":"@article{Mahnken_Steinmann_2011, title={Parameter Identification of Constitutive Models for Fluidsaturated Porous Media within an FE-Setting}, volume={80}, DOI={<a href=\"https://doi.org/10.1002/zamm.20000801341\">10.1002/zamm.20000801341</a>}, number={S1}, journal={ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik}, publisher={Wiley}, author={Mahnken, Rolf and Steinmann, P.}, year={2011}, pages={161–164} }","ama":"Mahnken R, Steinmann P. Parameter Identification of Constitutive Models for Fluidsaturated Porous Media within an FE-Setting. <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>. 2011;80(S1):161-164. doi:<a href=\"https://doi.org/10.1002/zamm.20000801341\">10.1002/zamm.20000801341</a>","ieee":"R. Mahnken and P. Steinmann, “Parameter Identification of Constitutive Models for Fluidsaturated Porous Media within an FE-Setting,” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>, vol. 80, no. S1, pp. 161–164, 2011, doi: <a href=\"https://doi.org/10.1002/zamm.20000801341\">10.1002/zamm.20000801341</a>.","apa":"Mahnken, R., &#38; Steinmann, P. (2011). Parameter Identification of Constitutive Models for Fluidsaturated Porous Media within an FE-Setting. <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i>, <i>80</i>(S1), 161–164. <a href=\"https://doi.org/10.1002/zamm.20000801341\">https://doi.org/10.1002/zamm.20000801341</a>","short":"R. Mahnken, P. Steinmann, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 80 (2011) 161–164.","chicago":"Mahnken, Rolf, and P. Steinmann. “Parameter Identification of Constitutive Models for Fluidsaturated Porous Media within an FE-Setting.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i> 80, no. S1 (2011): 161–64. <a href=\"https://doi.org/10.1002/zamm.20000801341\">https://doi.org/10.1002/zamm.20000801341</a>."},"quality_controlled":"1","page":"161-164","publisher":"Wiley","_id":"45420","user_id":"335","volume":80,"status":"public"},{"volume":80,"user_id":"335","publisher":"Wiley","_id":"45421","page":"467-468","status":"public","quality_controlled":"1","citation":{"mla":"Döbert, C., et al. “Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i>, vol. 80, no. S2, Wiley, 2011, pp. 467–68, doi:<a href=\"https://doi.org/10.1002/zamm.200008014105\">10.1002/zamm.200008014105</a>.","bibtex":"@article{Döbert_Mahnken_Stein_2011, title={Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests}, volume={80}, DOI={<a href=\"https://doi.org/10.1002/zamm.200008014105\">10.1002/zamm.200008014105</a>}, number={S2}, journal={ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik}, publisher={Wiley}, author={Döbert, C. and Mahnken, Rolf and Stein, E.}, year={2011}, pages={467–468} }","ama":"Döbert C, Mahnken R, Stein E. Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests. <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>. 2011;80(S2):467-468. doi:<a href=\"https://doi.org/10.1002/zamm.200008014105\">10.1002/zamm.200008014105</a>","ieee":"C. Döbert, R. Mahnken, and E. Stein, “Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests,” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>, vol. 80, no. S2, pp. 467–468, 2011, doi: <a href=\"https://doi.org/10.1002/zamm.200008014105\">10.1002/zamm.200008014105</a>.","apa":"Döbert, C., Mahnken, R., &#38; Stein, E. (2011). Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests. <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i>, <i>80</i>(S2), 467–468. <a href=\"https://doi.org/10.1002/zamm.200008014105\">https://doi.org/10.1002/zamm.200008014105</a>","short":"C. Döbert, R. Mahnken, E. Stein, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 80 (2011) 467–468.","chicago":"Döbert, C., Rolf Mahnken, and E. Stein. “Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i> 80, no. S2 (2011): 467–68. <a href=\"https://doi.org/10.1002/zamm.200008014105\">https://doi.org/10.1002/zamm.200008014105</a>."},"doi":"10.1002/zamm.200008014105","language":[{"iso":"eng"}],"intvolume":"        80","publication_status":"published","date_updated":"2023-05-31T12:11:07Z","publication_identifier":{"issn":["0044-2267"]},"author":[{"first_name":"C.","last_name":"Döbert","full_name":"Döbert, C."},{"first_name":"Rolf","last_name":"Mahnken","full_name":"Mahnken, Rolf","id":"335"},{"full_name":"Stein, E.","last_name":"Stein","first_name":"E."}],"year":"2011","title":"Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests","department":[{"_id":"9"},{"_id":"154"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mechanics"],"date_created":"2023-05-31T12:10:26Z","publication":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","issue":"S2"},{"issue":"S2","publication":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","date_created":"2023-05-31T12:07:05Z","keyword":["Applied Mathematics","Computational Mechanics"],"type":"journal_article","department":[{"_id":"9"},{"_id":"154"}],"title":"Improvements for finite-element implementation of the Gurson Model","year":"2011","publication_identifier":{"issn":["0044-2267"]},"author":[{"id":"335","full_name":"Mahnken, Rolf","last_name":"Mahnken","first_name":"Rolf"}],"date_updated":"2023-05-31T12:07:53Z","publication_status":"published","intvolume":"        80","language":[{"iso":"eng"}],"doi":"10.1002/zamm.200008014112","citation":{"bibtex":"@article{Mahnken_2011, title={Improvements for finite-element implementation of the Gurson Model}, volume={80}, DOI={<a href=\"https://doi.org/10.1002/zamm.200008014112\">10.1002/zamm.200008014112</a>}, number={S2}, journal={ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik}, publisher={Wiley}, author={Mahnken, Rolf}, year={2011}, pages={481–482} }","ama":"Mahnken R. Improvements for finite-element implementation of the Gurson Model. <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>. 2011;80(S2):481-482. doi:<a href=\"https://doi.org/10.1002/zamm.200008014112\">10.1002/zamm.200008014112</a>","mla":"Mahnken, Rolf. “Improvements for Finite-Element Implementation of the Gurson Model.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i>, vol. 80, no. S2, Wiley, 2011, pp. 481–82, doi:<a href=\"https://doi.org/10.1002/zamm.200008014112\">10.1002/zamm.200008014112</a>.","short":"R. Mahnken, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 80 (2011) 481–482.","chicago":"Mahnken, Rolf. “Improvements for Finite-Element Implementation of the Gurson Model.” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i> 80, no. S2 (2011): 481–82. <a href=\"https://doi.org/10.1002/zamm.200008014112\">https://doi.org/10.1002/zamm.200008014112</a>.","ieee":"R. Mahnken, “Improvements for finite-element implementation of the Gurson Model,” <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</i>, vol. 80, no. S2, pp. 481–482, 2011, doi: <a href=\"https://doi.org/10.1002/zamm.200008014112\">10.1002/zamm.200008014112</a>.","apa":"Mahnken, R. (2011). Improvements for finite-element implementation of the Gurson Model. <i>ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik</i>, <i>80</i>(S2), 481–482. <a href=\"https://doi.org/10.1002/zamm.200008014112\">https://doi.org/10.1002/zamm.200008014112</a>"},"quality_controlled":"1","status":"public","page":"481-482","publisher":"Wiley","_id":"45419","user_id":"335","volume":80},{"citation":{"bibtex":"@article{Januszewski_2010, title={Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields}, volume={2011}, DOI={<a href=\"https://doi.org/10.1515/crelle.2011.018\">10.1515/crelle.2011.018</a>}, number={653}, journal={Journal für die reine und angewandte Mathematik (Crelles Journal)}, publisher={Walter de Gruyter GmbH}, author={Januszewski, Fabian}, year={2010}, pages={1–45} }","ama":"Januszewski F. Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields. <i>Journal für die reine und angewandte Mathematik (Crelles Journal)</i>. 2010;2011(653):1-45. doi:<a href=\"https://doi.org/10.1515/crelle.2011.018\">10.1515/crelle.2011.018</a>","mla":"Januszewski, Fabian. “Modular Symbols for Reductive Groups and P-Adic Rankin–Selberg Convolutions over Number Fields.” <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, vol. 2011, no. 653, Walter de Gruyter GmbH, 2010, pp. 1–45, doi:<a href=\"https://doi.org/10.1515/crelle.2011.018\">10.1515/crelle.2011.018</a>.","chicago":"Januszewski, Fabian. “Modular Symbols for Reductive Groups and P-Adic Rankin–Selberg Convolutions over Number Fields.” <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i> 2011, no. 653 (2010): 1–45. <a href=\"https://doi.org/10.1515/crelle.2011.018\">https://doi.org/10.1515/crelle.2011.018</a>.","short":"F. Januszewski, Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2011 (2010) 1–45.","ieee":"F. Januszewski, “Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields,” <i>Journal für die reine und angewandte Mathematik (Crelles Journal)</i>, vol. 2011, no. 653, pp. 1–45, 2010, doi: <a href=\"https://doi.org/10.1515/crelle.2011.018\">10.1515/crelle.2011.018</a>.","apa":"Januszewski, F. (2010). Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields. <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, <i>2011</i>(653), 1–45. <a href=\"https://doi.org/10.1515/crelle.2011.018\">https://doi.org/10.1515/crelle.2011.018</a>"},"status":"public","page":"1-45","_id":"53184","publisher":"Walter de Gruyter GmbH","user_id":"81636","volume":2011,"publication":"Journal für die reine und angewandte Mathematik (Crelles Journal)","issue":"653","extern":"1","date_created":"2024-04-03T16:47:27Z","keyword":["Applied Mathematics","General Mathematics"],"type":"journal_article","year":"2010","title":"Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields","author":[{"full_name":"Januszewski, Fabian","last_name":"Januszewski","first_name":"Fabian","id":"81636"}],"publication_identifier":{"issn":["0075-4102","1435-5345"]},"date_updated":"2024-04-03T17:13:10Z","publication_status":"published","intvolume":"      2011","article_type":"original","language":[{"iso":"eng"}],"doi":"10.1515/crelle.2011.018"},{"doi":"10.4007/annals.2010.172.2035","language":[{"iso":"eng"}],"intvolume":"       172","date_updated":"2023-03-06T09:50:37Z","publication_status":"published","author":[{"full_name":"Fouvry, Étienne","last_name":"Fouvry","first_name":"Étienne"},{"id":"21202","full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen"}],"publication_identifier":{"issn":["0003-486X"]},"year":"2010","title":"On the negative Pell equation","department":[{"_id":"102"}],"type":"journal_article","keyword":["Statistics","Probability and Uncertainty","Mathematics (miscellaneous)"],"date_created":"2022-12-23T09:09:02Z","abstract":[{"text":"We give asymptotic upper and lower bounds for the number of squarefree d (0 < d ≤ X) such that the equation x² − dy²= −1 is solvable. These estimates, as usual, can equivalently be interpreted in terms of real quadratic fields with a fundamental unit with norm −1 and give strong evidence in the direction of a conjecture due to P. Stevenhagen.","lang":"eng"}],"issue":"3","publication":"Annals of Mathematics","volume":172,"user_id":"93826","publisher":"Annals of Mathematics","_id":"34886","page":"2035-2104","status":"public","citation":{"ieee":"É. Fouvry and J. Klüners, “On the negative Pell equation,” <i>Annals of Mathematics</i>, vol. 172, no. 3, pp. 2035–2104, 2010, doi: <a href=\"https://doi.org/10.4007/annals.2010.172.2035\">10.4007/annals.2010.172.2035</a>.","apa":"Fouvry, É., &#38; Klüners, J. (2010). On the negative Pell equation. <i>Annals of Mathematics</i>, <i>172</i>(3), 2035–2104. <a href=\"https://doi.org/10.4007/annals.2010.172.2035\">https://doi.org/10.4007/annals.2010.172.2035</a>","short":"É. Fouvry, J. Klüners, Annals of Mathematics 172 (2010) 2035–2104.","chicago":"Fouvry, Étienne, and Jürgen Klüners. “On the Negative Pell Equation.” <i>Annals of Mathematics</i> 172, no. 3 (2010): 2035–2104. <a href=\"https://doi.org/10.4007/annals.2010.172.2035\">https://doi.org/10.4007/annals.2010.172.2035</a>.","mla":"Fouvry, Étienne, and Jürgen Klüners. “On the Negative Pell Equation.” <i>Annals of Mathematics</i>, vol. 172, no. 3, Annals of Mathematics, 2010, pp. 2035–104, doi:<a href=\"https://doi.org/10.4007/annals.2010.172.2035\">10.4007/annals.2010.172.2035</a>.","bibtex":"@article{Fouvry_Klüners_2010, title={On the negative Pell equation}, volume={172}, DOI={<a href=\"https://doi.org/10.4007/annals.2010.172.2035\">10.4007/annals.2010.172.2035</a>}, number={3}, journal={Annals of Mathematics}, publisher={Annals of Mathematics}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2010}, pages={2035–2104} }","ama":"Fouvry É, Klüners J. On the negative Pell equation. <i>Annals of Mathematics</i>. 2010;172(3):2035-2104. doi:<a href=\"https://doi.org/10.4007/annals.2010.172.2035\">10.4007/annals.2010.172.2035</a>"}},{"year":"2010","title":"The parity of the period of the continued fraction of d","publication_identifier":{"issn":["0024-6115"]},"author":[{"first_name":"Étienne","last_name":"Fouvry","full_name":"Fouvry, Étienne"},{"id":"21202","full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen"}],"publication_status":"published","date_updated":"2023-03-06T10:16:54Z","intvolume":"       101","language":[{"iso":"eng"}],"doi":"10.1112/plms/pdp057","publication":"Proceedings of the London Mathematical Society","issue":"2","related_material":{"link":[{"relation":"confirmation","url":"https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=fc7ab412993fd2bf0069de42fbef1ecc69137755"}]},"abstract":[{"text":"We call a positive square-free integer d special, if d is not divisible by primes congruent to 3 mod 4. We show that the period of the expansion of in continued fractions is asymptotically more often odd than even, when we restrict to special integers. We note that this period is always even for a non-special square-free integer d. It is well known that the above period is odd if and only if the negative Pell equation x²−dy²=−1 is solvable. The latter problem is solvable if and only if the narrow and the ordinary class groups of ℚ(√d) are equal. In a prior work we fully described the asymptotics of the 4-ranks of those class groups. Here we get the first non-trivial results about the asymptotic behavior of the 8-rank of the narrow class group. For example, we show that more than 76% of the quadratic fields ℚ(√d), where d is special, have the property that the 8-rank of the narrow class group is zero.","lang":"eng"}],"date_created":"2022-12-23T09:22:49Z","type":"journal_article","keyword":["General Mathematics"],"department":[{"_id":"102"}],"status":"public","page":"337-391","_id":"34888","publisher":"Wiley","user_id":"93826","volume":101,"citation":{"ama":"Fouvry É, Klüners J. The parity of the period of the continued fraction of d. <i>Proceedings of the London Mathematical Society</i>. 2010;101(2):337-391. doi:<a href=\"https://doi.org/10.1112/plms/pdp057\">10.1112/plms/pdp057</a>","bibtex":"@article{Fouvry_Klüners_2010, title={The parity of the period of the continued fraction of d}, volume={101}, DOI={<a href=\"https://doi.org/10.1112/plms/pdp057\">10.1112/plms/pdp057</a>}, number={2}, journal={Proceedings of the London Mathematical Society}, publisher={Wiley}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2010}, pages={337–391} }","mla":"Fouvry, Étienne, and Jürgen Klüners. “The Parity of the Period of the Continued Fraction of d.” <i>Proceedings of the London Mathematical Society</i>, vol. 101, no. 2, Wiley, 2010, pp. 337–91, doi:<a href=\"https://doi.org/10.1112/plms/pdp057\">10.1112/plms/pdp057</a>.","short":"É. Fouvry, J. Klüners, Proceedings of the London Mathematical Society 101 (2010) 337–391.","chicago":"Fouvry, Étienne, and Jürgen Klüners. “The Parity of the Period of the Continued Fraction of d.” <i>Proceedings of the London Mathematical Society</i> 101, no. 2 (2010): 337–91. <a href=\"https://doi.org/10.1112/plms/pdp057\">https://doi.org/10.1112/plms/pdp057</a>.","apa":"Fouvry, É., &#38; Klüners, J. (2010). The parity of the period of the continued fraction of d. <i>Proceedings of the London Mathematical Society</i>, <i>101</i>(2), 337–391. <a href=\"https://doi.org/10.1112/plms/pdp057\">https://doi.org/10.1112/plms/pdp057</a>","ieee":"É. Fouvry and J. Klüners, “The parity of the period of the continued fraction of d,” <i>Proceedings of the London Mathematical Society</i>, vol. 101, no. 2, pp. 337–391, 2010, doi: <a href=\"https://doi.org/10.1112/plms/pdp057\">10.1112/plms/pdp057</a>."}},{"date_updated":"2023-04-04T09:25:08Z","publication_status":"published","intvolume":"        39","year":"2010","title":"Algorithmic Enumeration of Ideal Classes for Quaternion Orders","author":[{"full_name":"Kirschmer, Markus","last_name":"Kirschmer","first_name":"Markus","id":"82258"},{"full_name":"Voight, John","last_name":"Voight","first_name":"John"}],"publication_identifier":{"issn":["0097-5397","1095-7111"]},"doi":"10.1137/080734467","language":[{"iso":"eng"}],"abstract":[{"text":"We provide algorithms to count and enumerate representatives of the (right) ideal classes of an Eichler order in a quaternion algebra defined over a number field. We analyze the run time of these algorithms and consider several related problems, including the computation of two-sided ideal classes, isomorphism classes of orders, connecting ideals for orders, and ideal principalization. We conclude by giving the complete list of definite Eichler orders with class number at most 2.","lang":"eng"}],"extern":"1","publication":"SIAM Journal on Computing","issue":"5","type":"journal_article","keyword":["General Mathematics","General Computer Science"],"department":[{"_id":"102"}],"date_created":"2023-03-07T08:49:35Z","status":"public","user_id":"93826","volume":39,"page":"1714-1747","publisher":"Society for Industrial & Applied Mathematics (SIAM)","_id":"42803","citation":{"chicago":"Kirschmer, Markus, and John Voight. “Algorithmic Enumeration of Ideal Classes for Quaternion Orders.” <i>SIAM Journal on Computing</i> 39, no. 5 (2010): 1714–47. <a href=\"https://doi.org/10.1137/080734467\">https://doi.org/10.1137/080734467</a>.","short":"M. Kirschmer, J. Voight, SIAM Journal on Computing 39 (2010) 1714–1747.","ieee":"M. Kirschmer and J. Voight, “Algorithmic Enumeration of Ideal Classes for Quaternion Orders,” <i>SIAM Journal on Computing</i>, vol. 39, no. 5, pp. 1714–1747, 2010, doi: <a href=\"https://doi.org/10.1137/080734467\">10.1137/080734467</a>.","apa":"Kirschmer, M., &#38; Voight, J. (2010). Algorithmic Enumeration of Ideal Classes for Quaternion Orders. <i>SIAM Journal on Computing</i>, <i>39</i>(5), 1714–1747. <a href=\"https://doi.org/10.1137/080734467\">https://doi.org/10.1137/080734467</a>","bibtex":"@article{Kirschmer_Voight_2010, title={Algorithmic Enumeration of Ideal Classes for Quaternion Orders}, volume={39}, DOI={<a href=\"https://doi.org/10.1137/080734467\">10.1137/080734467</a>}, number={5}, journal={SIAM Journal on Computing}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={Kirschmer, Markus and Voight, John}, year={2010}, pages={1714–1747} }","ama":"Kirschmer M, Voight J. Algorithmic Enumeration of Ideal Classes for Quaternion Orders. <i>SIAM Journal on Computing</i>. 2010;39(5):1714-1747. doi:<a href=\"https://doi.org/10.1137/080734467\">10.1137/080734467</a>","mla":"Kirschmer, Markus, and John Voight. “Algorithmic Enumeration of Ideal Classes for Quaternion Orders.” <i>SIAM Journal on Computing</i>, vol. 39, no. 5, Society for Industrial &#38; Applied Mathematics (SIAM), 2010, pp. 1714–47, doi:<a href=\"https://doi.org/10.1137/080734467\">10.1137/080734467</a>."}},{"intvolume":"        15","publication_status":"published","date_updated":"2023-05-31T12:27:11Z","publication_identifier":{"issn":["0178-7675","1432-0924"]},"author":[{"id":"335","first_name":"Rolf","last_name":"Mahnken","full_name":"Mahnken, Rolf"}],"year":"2008","title":"A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems","doi":"10.1007/bf00350355","language":[{"iso":"eng"}],"publication":"Computational Mechanics","issue":"5","department":[{"_id":"9"},{"_id":"154"}],"keyword":["Applied Mathematics","Computational Mathematics","Computational Theory and Mathematics","Mechanical Engineering","Ocean Engineering","Computational Mechanics"],"type":"journal_article","date_created":"2023-05-31T12:26:42Z","status":"public","volume":15,"user_id":"335","_id":"45431","publisher":"Springer Science and Business Media LLC","page":"408-425","quality_controlled":"1","citation":{"chicago":"Mahnken, Rolf. “A Newton-Multigrid Algrithm for Elasto-Plastic/Viscoplastic Problems.” <i>Computational Mechanics</i> 15, no. 5 (2008): 408–25. <a href=\"https://doi.org/10.1007/bf00350355\">https://doi.org/10.1007/bf00350355</a>.","short":"R. Mahnken, Computational Mechanics 15 (2008) 408–425.","ieee":"R. Mahnken, “A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems,” <i>Computational Mechanics</i>, vol. 15, no. 5, pp. 408–425, 2008, doi: <a href=\"https://doi.org/10.1007/bf00350355\">10.1007/bf00350355</a>.","apa":"Mahnken, R. (2008). A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems. <i>Computational Mechanics</i>, <i>15</i>(5), 408–425. <a href=\"https://doi.org/10.1007/bf00350355\">https://doi.org/10.1007/bf00350355</a>","bibtex":"@article{Mahnken_2008, title={A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems}, volume={15}, DOI={<a href=\"https://doi.org/10.1007/bf00350355\">10.1007/bf00350355</a>}, number={5}, journal={Computational Mechanics}, publisher={Springer Science and Business Media LLC}, author={Mahnken, Rolf}, year={2008}, pages={408–425} }","ama":"Mahnken R. A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems. <i>Computational Mechanics</i>. 2008;15(5):408-425. doi:<a href=\"https://doi.org/10.1007/bf00350355\">10.1007/bf00350355</a>","mla":"Mahnken, Rolf. “A Newton-Multigrid Algrithm for Elasto-Plastic/Viscoplastic Problems.” <i>Computational Mechanics</i>, vol. 15, no. 5, Springer Science and Business Media LLC, 2008, pp. 408–25, doi:<a href=\"https://doi.org/10.1007/bf00350355\">10.1007/bf00350355</a>."}},{"language":[{"iso":"eng"}],"doi":"10.1007/s10440-006-9035-4","year":"2006","title":"SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts","publication_identifier":{"issn":["0167-8019","1572-9036"]},"author":[{"id":"37390","first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit"},{"last_name":"Voit","first_name":"Michael","full_name":"Voit, Michael"}],"date_updated":"2023-01-26T17:47:14Z","publication_status":"published","intvolume":"        90","date_created":"2023-01-25T09:57:30Z","type":"journal_article","keyword":["Applied Mathematics"],"department":[{"_id":"555"}],"issue":"1-2","publication":"Acta Applicandae Mathematicae","extern":"1","page":"179-195","_id":"39948","publisher":"Springer Science and Business Media LLC","user_id":"37390","volume":90,"status":"public","citation":{"short":"M. Rösler, M. Voit, Acta Applicandae Mathematicae 90 (2006) 179–195.","chicago":"Rösler, Margit, and Michael Voit. “SU(d)-Biinvariant Random Walks on SL(d,C) and Their Euclidean Counterparts.” <i>Acta Applicandae Mathematicae</i> 90, no. 1–2 (2006): 179–95. <a href=\"https://doi.org/10.1007/s10440-006-9035-4\">https://doi.org/10.1007/s10440-006-9035-4</a>.","apa":"Rösler, M., &#38; Voit, M. (2006). SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts. <i>Acta Applicandae Mathematicae</i>, <i>90</i>(1–2), 179–195. <a href=\"https://doi.org/10.1007/s10440-006-9035-4\">https://doi.org/10.1007/s10440-006-9035-4</a>","ieee":"M. Rösler and M. Voit, “SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts,” <i>Acta Applicandae Mathematicae</i>, vol. 90, no. 1–2, pp. 179–195, 2006, doi: <a href=\"https://doi.org/10.1007/s10440-006-9035-4\">10.1007/s10440-006-9035-4</a>.","ama":"Rösler M, Voit M. SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts. <i>Acta Applicandae Mathematicae</i>. 2006;90(1-2):179-195. doi:<a href=\"https://doi.org/10.1007/s10440-006-9035-4\">10.1007/s10440-006-9035-4</a>","bibtex":"@article{Rösler_Voit_2006, title={SU(d)-Biinvariant Random Walks on SL(d,C) and their Euclidean Counterparts}, volume={90}, DOI={<a href=\"https://doi.org/10.1007/s10440-006-9035-4\">10.1007/s10440-006-9035-4</a>}, number={1–2}, journal={Acta Applicandae Mathematicae}, publisher={Springer Science and Business Media LLC}, author={Rösler, Margit and Voit, Michael}, year={2006}, pages={179–195} }","mla":"Rösler, Margit, and Michael Voit. “SU(d)-Biinvariant Random Walks on SL(d,C) and Their Euclidean Counterparts.” <i>Acta Applicandae Mathematicae</i>, vol. 90, no. 1–2, Springer Science and Business Media LLC, 2006, pp. 179–95, doi:<a href=\"https://doi.org/10.1007/s10440-006-9035-4\">10.1007/s10440-006-9035-4</a>."}},{"status":"public","user_id":"93826","volume":2004,"page":"1-26","_id":"34895","publisher":"Walter de Gruyter GmbH","citation":{"chicago":"Klüners, Jürgen, and G. Malle. “Counting Nilpotent Galois Extensions.” <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i> 2004, no. 572 (2006): 1–26. <a href=\"https://doi.org/10.1515/crll.2004.050\">https://doi.org/10.1515/crll.2004.050</a>.","short":"J. Klüners, G. Malle, Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2004 (2006) 1–26.","apa":"Klüners, J., &#38; Malle, G. (2006). Counting nilpotent Galois extensions. <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, <i>2004</i>(572), 1–26. <a href=\"https://doi.org/10.1515/crll.2004.050\">https://doi.org/10.1515/crll.2004.050</a>","ieee":"J. Klüners and G. Malle, “Counting nilpotent Galois extensions,” <i>Journal für die reine und angewandte Mathematik (Crelles Journal)</i>, vol. 2004, no. 572, pp. 1–26, 2006, doi: <a href=\"https://doi.org/10.1515/crll.2004.050\">10.1515/crll.2004.050</a>.","ama":"Klüners J, Malle G. Counting nilpotent Galois extensions. <i>Journal für die reine und angewandte Mathematik (Crelles Journal)</i>. 2006;2004(572):1-26. doi:<a href=\"https://doi.org/10.1515/crll.2004.050\">10.1515/crll.2004.050</a>","bibtex":"@article{Klüners_Malle_2006, title={Counting nilpotent Galois extensions}, volume={2004}, DOI={<a href=\"https://doi.org/10.1515/crll.2004.050\">10.1515/crll.2004.050</a>}, number={572}, journal={Journal für die reine und angewandte Mathematik (Crelles Journal)}, publisher={Walter de Gruyter GmbH}, author={Klüners, Jürgen and Malle, G.}, year={2006}, pages={1–26} }","mla":"Klüners, Jürgen, and G. Malle. “Counting Nilpotent Galois Extensions.” <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, vol. 2004, no. 572, Walter de Gruyter GmbH, 2006, pp. 1–26, doi:<a href=\"https://doi.org/10.1515/crll.2004.050\">10.1515/crll.2004.050</a>."},"external_id":{"arxiv":["math/0112318"]},"date_updated":"2023-03-06T09:11:16Z","publication_status":"published","intvolume":"      2004","year":"2006","title":"Counting nilpotent Galois extensions","publication_identifier":{"issn":["0075-4102","1435-5345"]},"author":[{"last_name":"Klüners","first_name":"Jürgen","full_name":"Klüners, Jürgen","id":"21202"},{"last_name":"Malle","first_name":"G.","full_name":"Malle, G."}],"doi":"10.1515/crll.2004.050","language":[{"iso":"eng"}],"abstract":[{"text":"We obtain strong information on the asymptotic behaviour of the counting function for nilpotent Galois extensions with bounded discriminant of arbitrary number fields. This extends previous investigations for the case of abelian groups. In particular, the result confirms a conjecture by the second author on this function for arbitrary groups in the nilpotent case. We further prove compatibility of the conjecture with taking wreath products with the cyclic group of order 2 and give examples in degree up to 8. ","lang":"eng"}],"issue":"572","publication":"Journal für die reine und angewandte Mathematik (Crelles Journal)","keyword":["Applied Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"102"}],"date_created":"2022-12-23T09:50:49Z"},{"status":"public","publisher":"Springer Science and Business Media LLC","_id":"34890","page":"455-513","volume":167,"user_id":"93826","citation":{"mla":"Fouvry, Étienne, and Jürgen Klüners. “On the 4-Rank of Class Groups of Quadratic Number Fields.” <i>Inventiones Mathematicae</i>, vol. 167, no. 3, Springer Science and Business Media LLC, 2006, pp. 455–513, doi:<a href=\"https://doi.org/10.1007/s00222-006-0021-2\">10.1007/s00222-006-0021-2</a>.","ama":"Fouvry É, Klüners J. On the 4-rank of class groups of quadratic number fields. <i>Inventiones mathematicae</i>. 2006;167(3):455-513. doi:<a href=\"https://doi.org/10.1007/s00222-006-0021-2\">10.1007/s00222-006-0021-2</a>","bibtex":"@article{Fouvry_Klüners_2006, title={On the 4-rank of class groups of quadratic number fields}, volume={167}, DOI={<a href=\"https://doi.org/10.1007/s00222-006-0021-2\">10.1007/s00222-006-0021-2</a>}, number={3}, journal={Inventiones mathematicae}, publisher={Springer Science and Business Media LLC}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2006}, pages={455–513} }","apa":"Fouvry, É., &#38; Klüners, J. (2006). On the 4-rank of class groups of quadratic number fields. <i>Inventiones Mathematicae</i>, <i>167</i>(3), 455–513. <a href=\"https://doi.org/10.1007/s00222-006-0021-2\">https://doi.org/10.1007/s00222-006-0021-2</a>","ieee":"É. Fouvry and J. Klüners, “On the 4-rank of class groups of quadratic number fields,” <i>Inventiones mathematicae</i>, vol. 167, no. 3, pp. 455–513, 2006, doi: <a href=\"https://doi.org/10.1007/s00222-006-0021-2\">10.1007/s00222-006-0021-2</a>.","short":"É. Fouvry, J. Klüners, Inventiones Mathematicae 167 (2006) 455–513.","chicago":"Fouvry, Étienne, and Jürgen Klüners. “On the 4-Rank of Class Groups of Quadratic Number Fields.” <i>Inventiones Mathematicae</i> 167, no. 3 (2006): 455–513. <a href=\"https://doi.org/10.1007/s00222-006-0021-2\">https://doi.org/10.1007/s00222-006-0021-2</a>."},"publication_identifier":{"issn":["0020-9910","1432-1297"]},"author":[{"full_name":"Fouvry, Étienne","first_name":"Étienne","last_name":"Fouvry"},{"first_name":"Jürgen","last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202"}],"year":"2006","title":"On the 4-rank of class groups of quadratic number fields","intvolume":"       167","date_updated":"2023-03-06T09:12:30Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1007/s00222-006-0021-2","publication":"Inventiones mathematicae","issue":"3","abstract":[{"lang":"eng","text":"We prove that the 4-rank of class groups of quadratic number fields behaves as predicted in an extension due to Gerth of the Cohen–Lenstra heuristics. "}],"related_material":{"link":[{"relation":"confirmation","url":"https://math.uni-paderborn.de/fileadmin/mathematik/AG-Computeralgebra/Publications-klueners/ranks.pdf"}]},"date_created":"2022-12-23T09:36:15Z","department":[{"_id":"102"}],"keyword":["General Mathematics"],"type":"journal_article"},{"citation":{"mla":"Rösler, Margit, and Holger Rauhut. “Radial Multiresolution in Dimension Three.” <i>Constructive Approximation</i>, vol. 22, no. 2, Springer Science and Business Media LLC, 2005, pp. 193–218, doi:<a href=\"https://doi.org/10.1007/s00365-004-0587-0\">10.1007/s00365-004-0587-0</a>.","ama":"Rösler M, Rauhut H. Radial Multiresolution in Dimension Three. <i>Constructive Approximation</i>. 2005;22(2):193-218. doi:<a href=\"https://doi.org/10.1007/s00365-004-0587-0\">10.1007/s00365-004-0587-0</a>","bibtex":"@article{Rösler_Rauhut_2005, title={Radial Multiresolution in Dimension Three}, volume={22}, DOI={<a href=\"https://doi.org/10.1007/s00365-004-0587-0\">10.1007/s00365-004-0587-0</a>}, number={2}, journal={Constructive Approximation}, publisher={Springer Science and Business Media LLC}, author={Rösler, Margit and Rauhut, Holger}, year={2005}, pages={193–218} }","apa":"Rösler, M., &#38; Rauhut, H. (2005). Radial Multiresolution in Dimension Three. <i>Constructive Approximation</i>, <i>22</i>(2), 193–218. <a href=\"https://doi.org/10.1007/s00365-004-0587-0\">https://doi.org/10.1007/s00365-004-0587-0</a>","ieee":"M. Rösler and H. Rauhut, “Radial Multiresolution in Dimension Three,” <i>Constructive Approximation</i>, vol. 22, no. 2, pp. 193–218, 2005, doi: <a href=\"https://doi.org/10.1007/s00365-004-0587-0\">10.1007/s00365-004-0587-0</a>.","short":"M. Rösler, H. Rauhut, Constructive Approximation 22 (2005) 193–218.","chicago":"Rösler, Margit, and Holger Rauhut. “Radial Multiresolution in Dimension Three.” <i>Constructive Approximation</i> 22, no. 2 (2005): 193–218. <a href=\"https://doi.org/10.1007/s00365-004-0587-0\">https://doi.org/10.1007/s00365-004-0587-0</a>."},"status":"public","_id":"39951","publisher":"Springer Science and Business Media LLC","page":"193-218","volume":22,"user_id":"93826","publication":"Constructive Approximation","issue":"2","extern":"1","date_created":"2023-01-25T10:04:35Z","department":[{"_id":"555"}],"keyword":["Computational Mathematics","General Mathematics","Analysis"],"type":"journal_article","author":[{"id":"37390","full_name":"Rösler, Margit","first_name":"Margit","last_name":"Rösler"},{"last_name":"Rauhut","first_name":"Holger","full_name":"Rauhut, Holger"}],"publication_identifier":{"issn":["0176-4276","1432-0940"]},"year":"2005","title":"Radial Multiresolution in Dimension Three","intvolume":"        22","date_updated":"2023-01-26T17:44:30Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1007/s00365-004-0587-0"},{"status":"public","volume":340,"user_id":"93826","_id":"34894","publisher":"Elsevier BV","page":"411-414","citation":{"chicago":"Klüners, Jürgen. “A Counter Example to Malle’s Conjecture on the Asymptotics of Discriminants.” <i>Comptes Rendus Mathematique</i> 340, no. 6 (2005): 411–14. <a href=\"https://doi.org/10.1016/j.crma.2005.02.010\">https://doi.org/10.1016/j.crma.2005.02.010</a>.","short":"J. Klüners, Comptes Rendus Mathematique 340 (2005) 411–414.","apa":"Klüners, J. (2005). A counter example to Malle’s conjecture on the asymptotics of discriminants. <i>Comptes Rendus Mathematique</i>, <i>340</i>(6), 411–414. <a href=\"https://doi.org/10.1016/j.crma.2005.02.010\">https://doi.org/10.1016/j.crma.2005.02.010</a>","ieee":"J. Klüners, “A counter example to Malle’s conjecture on the asymptotics of discriminants,” <i>Comptes Rendus Mathematique</i>, vol. 340, no. 6, pp. 411–414, 2005, doi: <a href=\"https://doi.org/10.1016/j.crma.2005.02.010\">10.1016/j.crma.2005.02.010</a>.","ama":"Klüners J. A counter example to Malle’s conjecture on the asymptotics of discriminants. <i>Comptes Rendus Mathematique</i>. 2005;340(6):411-414. doi:<a href=\"https://doi.org/10.1016/j.crma.2005.02.010\">10.1016/j.crma.2005.02.010</a>","bibtex":"@article{Klüners_2005, title={A counter example to Malle’s conjecture on the asymptotics of discriminants}, volume={340}, DOI={<a href=\"https://doi.org/10.1016/j.crma.2005.02.010\">10.1016/j.crma.2005.02.010</a>}, number={6}, journal={Comptes Rendus Mathematique}, publisher={Elsevier BV}, author={Klüners, Jürgen}, year={2005}, pages={411–414} }","mla":"Klüners, Jürgen. “A Counter Example to Malle’s Conjecture on the Asymptotics of Discriminants.” <i>Comptes Rendus Mathematique</i>, vol. 340, no. 6, Elsevier BV, 2005, pp. 411–14, doi:<a href=\"https://doi.org/10.1016/j.crma.2005.02.010\">10.1016/j.crma.2005.02.010</a>."},"external_id":{"arxiv":["math/0411486 "]},"intvolume":"       340","publication_status":"published","date_updated":"2023-03-06T09:15:10Z","author":[{"id":"21202","full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen"}],"publication_identifier":{"issn":["1631-073X"]},"year":"2005","title":"A counter example to Malle's conjecture on the asymptotics of discriminants","doi":"10.1016/j.crma.2005.02.010","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"In this Note we give a counter example to a conjecture of Malle which predicts the asymptotic behavior of the counting functions for field extensions with given Galois group and bounded discriminant. "}],"issue":"6","publication":"Comptes Rendus Mathematique","department":[{"_id":"102"}],"keyword":["General Mathematics"],"type":"journal_article","date_created":"2022-12-23T09:44:05Z"},{"status":"public","volume":48,"user_id":"335","publisher":"Wiley","_id":"45416","page":"1015-1036","quality_controlled":"1","citation":{"short":"R. Mahnken, International Journal for Numerical Methods in Engineering 48 (2005) 1015–1036.","chicago":"Mahnken, Rolf. “An Inverse Finite-Element Algorithm for Parameter Identification of Thermoelastic Damage Models.” <i>International Journal for Numerical Methods in Engineering</i> 48, no. 7 (2005): 1015–36. <a href=\"https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4\">https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>.","ieee":"R. Mahnken, “An inverse finite-element algorithm for parameter identification of thermoelastic damage models,” <i>International Journal for Numerical Methods in Engineering</i>, vol. 48, no. 7, pp. 1015–1036, 2005, doi: <a href=\"https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4\">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>.","apa":"Mahnken, R. (2005). An inverse finite-element algorithm for parameter identification of thermoelastic damage models. <i>International Journal for Numerical Methods in Engineering</i>, <i>48</i>(7), 1015–1036. <a href=\"https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4\">https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>","bibtex":"@article{Mahnken_2005, title={An inverse finite-element algorithm for parameter identification of thermoelastic damage models}, volume={48}, DOI={<a href=\"https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4\">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>}, number={7}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Mahnken, Rolf}, year={2005}, pages={1015–1036} }","ama":"Mahnken R. An inverse finite-element algorithm for parameter identification of thermoelastic damage models. <i>International Journal for Numerical Methods in Engineering</i>. 2005;48(7):1015-1036. doi:<a href=\"https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4\">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>","mla":"Mahnken, Rolf. “An Inverse Finite-Element Algorithm for Parameter Identification of Thermoelastic Damage Models.” <i>International Journal for Numerical Methods in Engineering</i>, vol. 48, no. 7, Wiley, 2005, pp. 1015–36, doi:<a href=\"https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4\">10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4</a>."},"intvolume":"        48","publication_status":"published","date_updated":"2023-05-31T12:02:56Z","author":[{"full_name":"Mahnken, Rolf","last_name":"Mahnken","first_name":"Rolf","id":"335"}],"publication_identifier":{"issn":["0029-5981","1097-0207"]},"year":"2005","title":"An inverse finite-element algorithm for parameter identification of thermoelastic damage models","doi":"10.1002/(sici)1097-0207(20000710)48:7<1015::aid-nme912>3.0.co;2-4","language":[{"iso":"eng"}],"publication":"International Journal for Numerical Methods in Engineering","issue":"7","department":[{"_id":"9"},{"_id":"154"}],"keyword":["Applied Mathematics","General Engineering","Numerical Analysis"],"type":"journal_article","date_created":"2023-05-31T12:02:23Z"},{"language":[{"iso":"eng"}],"doi":"10.1002/nme.1620350505","year":"2005","title":"A stabilization procedure by line-search computation for first order approximation strategies in structural optimization","author":[{"id":"335","full_name":"Mahnken, Rolf","first_name":"Rolf","last_name":"Mahnken"},{"full_name":"Stein, E.","last_name":"Stein","first_name":"E."},{"last_name":"Bischoff","first_name":"D.","full_name":"Bischoff, D."}],"publication_identifier":{"issn":["0029-5981","1097-0207"]},"date_updated":"2023-05-31T12:29:34Z","publication_status":"published","intvolume":"        35","date_created":"2023-05-31T12:29:05Z","keyword":["Applied Mathematics","General Engineering","Numerical Analysis"],"type":"journal_article","department":[{"_id":"9"},{"_id":"154"}],"publication":"International Journal for Numerical Methods in Engineering","issue":"5","page":"1015-1029","publisher":"Wiley","_id":"45433","user_id":"335","volume":35,"status":"public","citation":{"ama":"Mahnken R, Stein E, Bischoff D. A stabilization procedure by line-search computation for first order approximation strategies in structural optimization. <i>International Journal for Numerical Methods in Engineering</i>. 2005;35(5):1015-1029. doi:<a href=\"https://doi.org/10.1002/nme.1620350505\">10.1002/nme.1620350505</a>","bibtex":"@article{Mahnken_Stein_Bischoff_2005, title={A stabilization procedure by line-search computation for first order approximation strategies in structural optimization}, volume={35}, DOI={<a href=\"https://doi.org/10.1002/nme.1620350505\">10.1002/nme.1620350505</a>}, number={5}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Mahnken, Rolf and Stein, E. and Bischoff, D.}, year={2005}, pages={1015–1029} }","mla":"Mahnken, Rolf, et al. “A Stabilization Procedure by Line-Search Computation for First Order Approximation Strategies in Structural Optimization.” <i>International Journal for Numerical Methods in Engineering</i>, vol. 35, no. 5, Wiley, 2005, pp. 1015–29, doi:<a href=\"https://doi.org/10.1002/nme.1620350505\">10.1002/nme.1620350505</a>.","chicago":"Mahnken, Rolf, E. Stein, and D. Bischoff. “A Stabilization Procedure by Line-Search Computation for First Order Approximation Strategies in Structural Optimization.” <i>International Journal for Numerical Methods in Engineering</i> 35, no. 5 (2005): 1015–29. <a href=\"https://doi.org/10.1002/nme.1620350505\">https://doi.org/10.1002/nme.1620350505</a>.","short":"R. Mahnken, E. Stein, D. Bischoff, International Journal for Numerical Methods in Engineering 35 (2005) 1015–1029.","apa":"Mahnken, R., Stein, E., &#38; Bischoff, D. (2005). A stabilization procedure by line-search computation for first order approximation strategies in structural optimization. <i>International Journal for Numerical Methods in Engineering</i>, <i>35</i>(5), 1015–1029. <a href=\"https://doi.org/10.1002/nme.1620350505\">https://doi.org/10.1002/nme.1620350505</a>","ieee":"R. Mahnken, E. Stein, and D. Bischoff, “A stabilization procedure by line-search computation for first order approximation strategies in structural optimization,” <i>International Journal for Numerical Methods in Engineering</i>, vol. 35, no. 5, pp. 1015–1029, 2005, doi: <a href=\"https://doi.org/10.1002/nme.1620350505\">10.1002/nme.1620350505</a>."},"quality_controlled":"1"},{"date_created":"2023-05-31T12:30:12Z","department":[{"_id":"9"},{"_id":"154"}],"type":"journal_article","keyword":["Applied Mathematics","General Engineering","Numerical Analysis"],"issue":"7","publication":"International Journal for Numerical Methods in Engineering","language":[{"iso":"eng"}],"doi":"10.1002/nme.1620280711","author":[{"id":"335","full_name":"Mahnken, Rolf","first_name":"Rolf","last_name":"Mahnken"},{"first_name":"Erwin","last_name":"Stein","full_name":"Stein, Erwin"}],"publication_identifier":{"issn":["0029-5981","1097-0207"]},"year":"2005","title":"Adaptive time-step control in creep analysis","intvolume":"        28","publication_status":"published","date_updated":"2023-05-31T12:30:41Z","citation":{"mla":"Mahnken, Rolf, and Erwin Stein. “Adaptive Time-Step Control in Creep Analysis.” <i>International Journal for Numerical Methods in Engineering</i>, vol. 28, no. 7, Wiley, 2005, pp. 1619–33, doi:<a href=\"https://doi.org/10.1002/nme.1620280711\">10.1002/nme.1620280711</a>.","apa":"Mahnken, R., &#38; Stein, E. (2005). Adaptive time-step control in creep analysis. <i>International Journal for Numerical Methods in Engineering</i>, <i>28</i>(7), 1619–1633. <a href=\"https://doi.org/10.1002/nme.1620280711\">https://doi.org/10.1002/nme.1620280711</a>","ieee":"R. Mahnken and E. Stein, “Adaptive time-step control in creep analysis,” <i>International Journal for Numerical Methods in Engineering</i>, vol. 28, no. 7, pp. 1619–1633, 2005, doi: <a href=\"https://doi.org/10.1002/nme.1620280711\">10.1002/nme.1620280711</a>.","chicago":"Mahnken, Rolf, and Erwin Stein. “Adaptive Time-Step Control in Creep Analysis.” <i>International Journal for Numerical Methods in Engineering</i> 28, no. 7 (2005): 1619–33. <a href=\"https://doi.org/10.1002/nme.1620280711\">https://doi.org/10.1002/nme.1620280711</a>.","ama":"Mahnken R, Stein E. Adaptive time-step control in creep analysis. <i>International Journal for Numerical Methods in Engineering</i>. 2005;28(7):1619-1633. doi:<a href=\"https://doi.org/10.1002/nme.1620280711\">10.1002/nme.1620280711</a>","short":"R. Mahnken, E. Stein, International Journal for Numerical Methods in Engineering 28 (2005) 1619–1633.","bibtex":"@article{Mahnken_Stein_2005, title={Adaptive time-step control in creep analysis}, volume={28}, DOI={<a href=\"https://doi.org/10.1002/nme.1620280711\">10.1002/nme.1620280711</a>}, number={7}, journal={International Journal for Numerical Methods in Engineering}, publisher={Wiley}, author={Mahnken, Rolf and Stein, Erwin}, year={2005}, pages={1619–1633} }"},"quality_controlled":"1","publisher":"Wiley","_id":"45435","page":"1619-1633","volume":28,"user_id":"335","status":"public"}]