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Integral representation and sharp asymptotic results for some Heckman-Opdam hypergeometric functions of type BC. <i>Transactions of the American Mathematical Society</i>. 2016;368(8):6005-6032. doi:<a href=\"https://doi.org/10.48550/ARXIV.1402.5793\">10.48550/ARXIV.1402.5793</a>","bibtex":"@article{Rösler_Voit_2016, title={Integral representation and sharp asymptotic results for some Heckman-Opdam hypergeometric functions of type BC}, volume={368}, DOI={<a href=\"https://doi.org/10.48550/ARXIV.1402.5793\">10.48550/ARXIV.1402.5793</a>}, number={8}, journal={Transactions of the American Mathematical Society}, publisher={ American Mathematical Society}, author={Rösler, Margit and Voit, Michael}, year={2016}, pages={6005–6032} }","mla":"Rösler, Margit, and Michael Voit. “Integral Representation and Sharp Asymptotic Results for Some Heckman-Opdam Hypergeometric Functions of Type BC.” <i>Transactions of the American Mathematical Society</i>, vol. 368, no. 8,  American Mathematical Society, 2016, pp. 6005–32, doi:<a href=\"https://doi.org/10.48550/ARXIV.1402.5793\">10.48550/ARXIV.1402.5793</a>."},"page":"6005-6032","_id":"38032","publisher":" American Mathematical Society","user_id":"37390","volume":368,"status":"public","date_created":"2023-01-23T08:09:20Z","type":"journal_article","department":[{"_id":"555"}],"issue":"8","publication":"Transactions of the American Mathematical Society","language":[{"iso":"eng"}],"doi":"10.48550/ARXIV.1402.5793","title":"Integral representation and sharp asymptotic results for some Heckman-Opdam hypergeometric functions of type BC","year":"2016","publication_identifier":{"issn":["1088-6850"]},"author":[{"id":"37390","full_name":"Rösler, Margit","first_name":"Margit","last_name":"Rösler"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"publication_status":"published","date_updated":"2023-01-24T22:15:46Z","intvolume":"       368"},{"citation":{"ieee":"M. Rösler and M. Voit, “A multivariate version of the disk convolution,” <i>Journal of Mathematical Analysis and Applications</i>, vol. 435, no. 1, pp. 701–717, 2016, doi: <a href=\"https://doi.org/10.1016/j.jmaa.2015.10.062\">10.1016/j.jmaa.2015.10.062</a>.","apa":"Rösler, M., &#38; Voit, M. (2016). A multivariate version of the disk convolution. <i>Journal of Mathematical Analysis and Applications</i>, <i>435</i>(1), 701–717. <a href=\"https://doi.org/10.1016/j.jmaa.2015.10.062\">https://doi.org/10.1016/j.jmaa.2015.10.062</a>","chicago":"Rösler, Margit, and Michael Voit. “A Multivariate Version of the Disk Convolution.” <i>Journal of Mathematical Analysis and Applications</i> 435, no. 1 (2016): 701–17. <a href=\"https://doi.org/10.1016/j.jmaa.2015.10.062\">https://doi.org/10.1016/j.jmaa.2015.10.062</a>.","short":"M. Rösler, M. Voit, Journal of Mathematical Analysis and Applications 435 (2016) 701–717.","mla":"Rösler, Margit, and Michael Voit. “A Multivariate Version of the Disk Convolution.” <i>Journal of Mathematical Analysis and Applications</i>, vol. 435, no. 1, Elsevier BV, 2016, pp. 701–17, doi:<a href=\"https://doi.org/10.1016/j.jmaa.2015.10.062\">10.1016/j.jmaa.2015.10.062</a>.","bibtex":"@article{Rösler_Voit_2016, title={A multivariate version of the disk convolution}, volume={435}, DOI={<a href=\"https://doi.org/10.1016/j.jmaa.2015.10.062\">10.1016/j.jmaa.2015.10.062</a>}, number={1}, journal={Journal of Mathematical Analysis and Applications}, publisher={Elsevier BV}, author={Rösler, Margit and Voit, Michael}, year={2016}, pages={701–717} }","ama":"Rösler M, Voit M. A multivariate version of the disk convolution. <i>Journal of Mathematical Analysis and Applications</i>. 2016;435(1):701-717. doi:<a href=\"https://doi.org/10.1016/j.jmaa.2015.10.062\">10.1016/j.jmaa.2015.10.062</a>"},"status":"public","volume":435,"user_id":"37390","publisher":"Elsevier BV","_id":"37663","page":"701-717","issue":"1","publication":"Journal of Mathematical Analysis and Applications","department":[{"_id":"555"}],"keyword":["Applied Mathematics","Analysis"],"type":"journal_article","date_created":"2023-01-20T09:26:43Z","intvolume":"       435","date_updated":"2023-01-24T22:15:56Z","publication_status":"published","author":[{"id":"37390","first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit"},{"full_name":"Voit, Michael","last_name":"Voit","first_name":"Michael"}],"publication_identifier":{"issn":["0022-247X"]},"title":"A multivariate version of the disk convolution","year":"2016","doi":"10.1016/j.jmaa.2015.10.062","language":[{"iso":"eng"}]},{"user_id":"58312","volume":94,"page":"462-478","_id":"40066","publisher":"Wiley","status":"public","citation":{"apa":"Bañuelos, R., Bogdan, K., &#38; Luks, T. (2016). Hardy–Stein identities and square functions for semigroups. <i>Journal of the London Mathematical Society</i>, <i>94</i>(2), 462–478. <a href=\"https://doi.org/10.1112/jlms/jdw042\">https://doi.org/10.1112/jlms/jdw042</a>","ieee":"R. Bañuelos, K. Bogdan, and T. Luks, “Hardy–Stein identities and square functions for semigroups,” <i>Journal of the London Mathematical Society</i>, vol. 94, no. 2, pp. 462–478, 2016, doi: <a href=\"https://doi.org/10.1112/jlms/jdw042\">10.1112/jlms/jdw042</a>.","short":"R. Bañuelos, K. Bogdan, T. Luks, Journal of the London Mathematical Society 94 (2016) 462–478.","chicago":"Bañuelos, Rodrigo, Krzysztof Bogdan, and Tomasz Luks. “Hardy–Stein Identities and Square Functions for Semigroups.” <i>Journal of the London Mathematical Society</i> 94, no. 2 (2016): 462–78. <a href=\"https://doi.org/10.1112/jlms/jdw042\">https://doi.org/10.1112/jlms/jdw042</a>.","mla":"Bañuelos, Rodrigo, et al. “Hardy–Stein Identities and Square Functions for Semigroups.” <i>Journal of the London Mathematical Society</i>, vol. 94, no. 2, Wiley, 2016, pp. 462–78, doi:<a href=\"https://doi.org/10.1112/jlms/jdw042\">10.1112/jlms/jdw042</a>.","ama":"Bañuelos R, Bogdan K, Luks T. Hardy–Stein identities and square functions for semigroups. <i>Journal of the London Mathematical Society</i>. 2016;94(2):462-478. doi:<a href=\"https://doi.org/10.1112/jlms/jdw042\">10.1112/jlms/jdw042</a>","bibtex":"@article{Bañuelos_Bogdan_Luks_2016, title={Hardy–Stein identities and square functions for semigroups}, volume={94}, DOI={<a href=\"https://doi.org/10.1112/jlms/jdw042\">10.1112/jlms/jdw042</a>}, number={2}, journal={Journal of the London Mathematical Society}, publisher={Wiley}, author={Bañuelos, Rodrigo and Bogdan, Krzysztof and Luks, Tomasz}, year={2016}, pages={462–478} }"},"doi":"10.1112/jlms/jdw042","language":[{"iso":"eng"}],"date_updated":"2023-01-26T17:20:19Z","publication_status":"published","intvolume":"        94","title":"Hardy–Stein identities and square functions for semigroups","year":"2016","author":[{"full_name":"Bañuelos, Rodrigo","last_name":"Bañuelos","first_name":"Rodrigo"},{"full_name":"Bogdan, Krzysztof","first_name":"Krzysztof","last_name":"Bogdan"},{"full_name":"Luks, Tomasz","first_name":"Tomasz","last_name":"Luks","id":"58312"}],"publication_identifier":{"issn":["0024-6107","1469-7750"]},"type":"journal_article","keyword":["General Mathematics"],"department":[{"_id":"555"}],"date_created":"2023-01-25T15:43:14Z","extern":"1","issue":"2","publication":"Journal of the London Mathematical Society"},{"citation":{"ama":"Klüners J, Nicolae F. Are number fields determined by Artin L-functions? <i>Journal of Number Theory</i>. 2016;167:161-168. doi:<a href=\"https://doi.org/10.1016/j.jnt.2016.03.023\">10.1016/j.jnt.2016.03.023</a>","bibtex":"@article{Klüners_Nicolae_2016, title={Are number fields determined by Artin L-functions?}, volume={167}, DOI={<a href=\"https://doi.org/10.1016/j.jnt.2016.03.023\">10.1016/j.jnt.2016.03.023</a>}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Klüners, Jürgen and Nicolae, Florin}, year={2016}, pages={161–168} }","mla":"Klüners, Jürgen, and Florin Nicolae. “Are Number Fields Determined by Artin L-Functions?” <i>Journal of Number Theory</i>, vol. 167, Elsevier BV, 2016, pp. 161–68, doi:<a href=\"https://doi.org/10.1016/j.jnt.2016.03.023\">10.1016/j.jnt.2016.03.023</a>.","short":"J. Klüners, F. Nicolae, Journal of Number Theory 167 (2016) 161–168.","chicago":"Klüners, Jürgen, and Florin Nicolae. “Are Number Fields Determined by Artin L-Functions?” <i>Journal of Number Theory</i> 167 (2016): 161–68. <a href=\"https://doi.org/10.1016/j.jnt.2016.03.023\">https://doi.org/10.1016/j.jnt.2016.03.023</a>.","apa":"Klüners, J., &#38; Nicolae, F. (2016). Are number fields determined by Artin L-functions? <i>Journal of Number Theory</i>, <i>167</i>, 161–168. <a href=\"https://doi.org/10.1016/j.jnt.2016.03.023\">https://doi.org/10.1016/j.jnt.2016.03.023</a>","ieee":"J. Klüners and F. Nicolae, “Are number fields determined by Artin L-functions?,” <i>Journal of Number Theory</i>, vol. 167, pp. 161–168, 2016, doi: <a href=\"https://doi.org/10.1016/j.jnt.2016.03.023\">10.1016/j.jnt.2016.03.023</a>."},"external_id":{"arxiv":["1509.06883 "]},"status":"public","page":"161-168","_id":"34844","publisher":"Elsevier BV","user_id":"93826","volume":167,"publication":"Journal of Number Theory","abstract":[{"lang":"eng","text":"Let k be a number field, K/k a finite Galois extension with Galois group G, χ a faithful character of G. We prove that the Artin L-function L(s,χ,K/k) determines the Galois closure of K over $\\ℚ$. In the special case $k=\\ℚ$ it also determines the character χ. "}],"date_created":"2022-12-22T10:52:47Z","type":"journal_article","keyword":["Algebra and Number Theory"],"department":[{"_id":"102"}],"year":"2016","title":"Are number fields determined by Artin L-functions?","publication_identifier":{"issn":["0022-314X"]},"author":[{"id":"21202","full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen"},{"full_name":"Nicolae, Florin","last_name":"Nicolae","first_name":"Florin"}],"publication_status":"published","date_updated":"2023-03-06T10:44:22Z","intvolume":"       167","language":[{"iso":"eng"}],"doi":"10.1016/j.jnt.2016.03.023"},{"publication":"Journal of Number Theory","extern":"1","abstract":[{"text":"We enumerate all positive definite ternary quadratic forms over number fields with class number at most 2. This is done by constructing all definite quaternion orders of type number at most 2 over number fields. Finally, we list all definite quaternion orders of ideal class number 1 or 2.","lang":"eng"}],"date_created":"2023-03-07T08:28:46Z","keyword":["Algebra and Number Theory"],"type":"journal_article","department":[{"_id":"102"}],"title":"Ternary quadratic forms over number fields with small class number","year":"2016","author":[{"last_name":"Kirschmer","first_name":"Markus","full_name":"Kirschmer, Markus","id":"82258"},{"full_name":"Lorch, David","last_name":"Lorch","first_name":"David"}],"publication_identifier":{"issn":["0022-314X"]},"publication_status":"published","date_updated":"2023-04-04T09:10:42Z","intvolume":"       161","language":[{"iso":"eng"}],"doi":"10.1016/j.jnt.2014.11.001","citation":{"short":"M. Kirschmer, D. Lorch, Journal of Number Theory 161 (2016) 343–361.","chicago":"Kirschmer, Markus, and David Lorch. “Ternary Quadratic Forms over Number Fields with Small Class Number.” <i>Journal of Number Theory</i> 161 (2016): 343–61. <a href=\"https://doi.org/10.1016/j.jnt.2014.11.001\">https://doi.org/10.1016/j.jnt.2014.11.001</a>.","apa":"Kirschmer, M., &#38; Lorch, D. (2016). Ternary quadratic forms over number fields with small class number. <i>Journal of Number Theory</i>, <i>161</i>, 343–361. <a href=\"https://doi.org/10.1016/j.jnt.2014.11.001\">https://doi.org/10.1016/j.jnt.2014.11.001</a>","ieee":"M. Kirschmer and D. Lorch, “Ternary quadratic forms over number fields with small class number,” <i>Journal of Number Theory</i>, vol. 161, pp. 343–361, 2016, doi: <a href=\"https://doi.org/10.1016/j.jnt.2014.11.001\">10.1016/j.jnt.2014.11.001</a>.","ama":"Kirschmer M, Lorch D. Ternary quadratic forms over number fields with small class number. <i>Journal of Number Theory</i>. 2016;161:343-361. doi:<a href=\"https://doi.org/10.1016/j.jnt.2014.11.001\">10.1016/j.jnt.2014.11.001</a>","bibtex":"@article{Kirschmer_Lorch_2016, title={Ternary quadratic forms over number fields with small class number}, volume={161}, DOI={<a href=\"https://doi.org/10.1016/j.jnt.2014.11.001\">10.1016/j.jnt.2014.11.001</a>}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Kirschmer, Markus and Lorch, David}, year={2016}, pages={343–361} }","mla":"Kirschmer, Markus, and David Lorch. “Ternary Quadratic Forms over Number Fields with Small Class Number.” <i>Journal of Number Theory</i>, vol. 161, Elsevier BV, 2016, pp. 343–61, doi:<a href=\"https://doi.org/10.1016/j.jnt.2014.11.001\">10.1016/j.jnt.2014.11.001</a>."},"status":"public","page":"343-361","_id":"42792","publisher":"Elsevier BV","user_id":"93826","volume":161}]