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Wiesbaden: Springer-Verlag, 2014.","bibtex":"@book{Wessel_2014, place={Wiesbaden}, title={Fach-und sprachintegrierte Förderung durch Darstellungsvernetzung und Scaffolding: ein Entwicklungsforschungsprojekt zum Anteilbegriff}, volume={19}, publisher={Springer-Verlag}, author={Wessel, Lena}, year={2014} }"},"place":"Wiesbaden","date_created":"2023-10-23T09:35:30Z","type":"book","department":[{"_id":"643"}]},{"publication_identifier":{"issn":["0951-7715","1361-6544"]},"author":[{"id":"48188","full_name":"Barkhofen, Sonja","last_name":"Barkhofen","first_name":"Sonja"},{"last_name":"Faure","first_name":"F","full_name":"Faure, F"},{"full_name":"Weich, Tobias","first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","id":"49178"}],"title":"Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum","year":"2014","intvolume":"        27","publication_status":"published","date_updated":"2023-01-19T08:56:12Z","language":[{"iso":"eng"}],"doi":"10.1088/0951-7715/27/8/1829","publication":"Nonlinearity","issue":"8","date_created":"2022-05-17T12:58:25Z","department":[{"_id":"10"},{"_id":"548"},{"_id":"288"}],"keyword":["Applied Mathematics","General Physics and Astronomy","Mathematical Physics","Statistical and Nonlinear Physics"],"type":"journal_article","status":"public","_id":"31296","publisher":"IOP Publishing","page":"1829-1858","volume":27,"user_id":"48188","citation":{"chicago":"Barkhofen, Sonja, F Faure, and Tobias Weich. “Resonance Chains in Open Systems, Generalized Zeta Functions and Clustering of the Length Spectrum.” <i>Nonlinearity</i> 27, no. 8 (2014): 1829–58. <a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">https://doi.org/10.1088/0951-7715/27/8/1829</a>.","short":"S. Barkhofen, F. Faure, T. Weich, Nonlinearity 27 (2014) 1829–1858.","apa":"Barkhofen, S., Faure, F., &#38; Weich, T. (2014). Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. <i>Nonlinearity</i>, <i>27</i>(8), 1829–1858. <a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">https://doi.org/10.1088/0951-7715/27/8/1829</a>","ieee":"S. Barkhofen, F. Faure, and T. Weich, “Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum,” <i>Nonlinearity</i>, vol. 27, no. 8, pp. 1829–1858, 2014, doi: <a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">10.1088/0951-7715/27/8/1829</a>.","ama":"Barkhofen S, Faure F, Weich T. Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. <i>Nonlinearity</i>. 2014;27(8):1829-1858. doi:<a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">10.1088/0951-7715/27/8/1829</a>","bibtex":"@article{Barkhofen_Faure_Weich_2014, title={Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum}, volume={27}, DOI={<a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">10.1088/0951-7715/27/8/1829</a>}, number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Barkhofen, Sonja and Faure, F and Weich, Tobias}, year={2014}, pages={1829–1858} }","mla":"Barkhofen, Sonja, et al. “Resonance Chains in Open Systems, Generalized Zeta Functions and Clustering of the Length Spectrum.” <i>Nonlinearity</i>, vol. 27, no. 8, IOP Publishing, 2014, pp. 1829–58, doi:<a href=\"https://doi.org/10.1088/0951-7715/27/8/1829\">10.1088/0951-7715/27/8/1829</a>."},"external_id":{"arxiv":["1403.7771 "]}},{"publication":"New Journal of Physics","issue":"3","date_created":"2022-05-17T12:59:49Z","department":[{"_id":"10"},{"_id":"548"}],"keyword":["General Physics and Astronomy"],"type":"journal_article","author":[{"full_name":"Weich, Tobias","first_name":"Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","id":"49178"},{"full_name":"Barkhofen, Sonja","first_name":"Sonja","last_name":"Barkhofen","id":"48188"},{"full_name":"Kuhl, U","last_name":"Kuhl","first_name":"U"},{"first_name":"C","last_name":"Poli","full_name":"Poli, C"},{"full_name":"Schomerus, H","first_name":"H","last_name":"Schomerus"}],"publication_identifier":{"issn":["1367-2630"]},"year":"2014","title":"Formation and interaction of resonance chains in the open three-disk system","intvolume":"        16","date_updated":"2023-01-24T08:07:57Z","publication_status":"published","language":[{"iso":"eng"}],"article_number":"033029","doi":"10.1088/1367-2630/16/3/033029","citation":{"short":"T. Weich, S. Barkhofen, U. Kuhl, C. Poli, H. Schomerus, New Journal of Physics 16 (2014).","chicago":"Weich, Tobias, Sonja Barkhofen, U Kuhl, C Poli, and H Schomerus. “Formation and Interaction of Resonance Chains in the Open Three-Disk System.” <i>New Journal of Physics</i> 16, no. 3 (2014). <a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">https://doi.org/10.1088/1367-2630/16/3/033029</a>.","apa":"Weich, T., Barkhofen, S., Kuhl, U., Poli, C., &#38; Schomerus, H. (2014). Formation and interaction of resonance chains in the open three-disk system. <i>New Journal of Physics</i>, <i>16</i>(3), Article 033029. <a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">https://doi.org/10.1088/1367-2630/16/3/033029</a>","ieee":"T. Weich, S. Barkhofen, U. Kuhl, C. Poli, and H. Schomerus, “Formation and interaction of resonance chains in the open three-disk system,” <i>New Journal of Physics</i>, vol. 16, no. 3, Art. no. 033029, 2014, doi: <a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">10.1088/1367-2630/16/3/033029</a>.","ama":"Weich T, Barkhofen S, Kuhl U, Poli C, Schomerus H. Formation and interaction of resonance chains in the open three-disk system. <i>New Journal of Physics</i>. 2014;16(3). doi:<a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">10.1088/1367-2630/16/3/033029</a>","bibtex":"@article{Weich_Barkhofen_Kuhl_Poli_Schomerus_2014, title={Formation and interaction of resonance chains in the open three-disk system}, volume={16}, DOI={<a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">10.1088/1367-2630/16/3/033029</a>}, number={3033029}, journal={New Journal of Physics}, publisher={IOP Publishing}, author={Weich, Tobias and Barkhofen, Sonja and Kuhl, U and Poli, C and Schomerus, H}, year={2014} }","mla":"Weich, Tobias, et al. “Formation and Interaction of Resonance Chains in the Open Three-Disk System.” <i>New Journal of Physics</i>, vol. 16, no. 3, 033029, IOP Publishing, 2014, doi:<a href=\"https://doi.org/10.1088/1367-2630/16/3/033029\">10.1088/1367-2630/16/3/033029</a>."},"external_id":{"arxiv":["1311.5128 "]},"status":"public","_id":"31297","publisher":"IOP Publishing","volume":16,"user_id":"48188"},{"publication":"Journal of Approximation Theory","date_created":"2023-01-20T09:30:22Z","department":[{"_id":"555"}],"keyword":["Applied Mathematics","General Mathematics","Numerical Analysis","Analysis"],"type":"journal_article","author":[{"id":"37390","last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit"},{"last_name":"Remling","first_name":"Heiko","full_name":"Remling, Heiko"}],"publication_identifier":{"issn":["0021-9045"]},"title":"Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians","year":"2014","intvolume":"       197","date_updated":"2023-01-24T22:15:33Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1016/j.jat.2014.07.005","citation":{"mla":"Rösler, Margit, and Heiko Remling. “Convolution Algebras for Heckman–Opdam Polynomials Derived from Compact Grassmannians.” <i>Journal of Approximation Theory</i>, vol. 197, Elsevier BV, 2014, pp. 30–48, doi:<a href=\"https://doi.org/10.1016/j.jat.2014.07.005\">10.1016/j.jat.2014.07.005</a>.","ama":"Rösler M, Remling H. Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians. <i>Journal of Approximation Theory</i>. 2014;197:30-48. doi:<a href=\"https://doi.org/10.1016/j.jat.2014.07.005\">10.1016/j.jat.2014.07.005</a>","bibtex":"@article{Rösler_Remling_2014, title={Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians}, volume={197}, DOI={<a href=\"https://doi.org/10.1016/j.jat.2014.07.005\">10.1016/j.jat.2014.07.005</a>}, journal={Journal of Approximation Theory}, publisher={Elsevier BV}, author={Rösler, Margit and Remling, Heiko}, year={2014}, pages={30–48} }","apa":"Rösler, M., &#38; Remling, H. (2014). Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians. <i>Journal of Approximation Theory</i>, <i>197</i>, 30–48. <a href=\"https://doi.org/10.1016/j.jat.2014.07.005\">https://doi.org/10.1016/j.jat.2014.07.005</a>","ieee":"M. Rösler and H. Remling, “Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians,” <i>Journal of Approximation Theory</i>, vol. 197, pp. 30–48, 2014, doi: <a href=\"https://doi.org/10.1016/j.jat.2014.07.005\">10.1016/j.jat.2014.07.005</a>.","short":"M. Rösler, H. Remling, Journal of Approximation Theory 197 (2014) 30–48.","chicago":"Rösler, Margit, and Heiko Remling. “Convolution Algebras for Heckman–Opdam Polynomials Derived from Compact Grassmannians.” <i>Journal of Approximation Theory</i> 197 (2014): 30–48. <a href=\"https://doi.org/10.1016/j.jat.2014.07.005\">https://doi.org/10.1016/j.jat.2014.07.005</a>."},"status":"public","_id":"37667","publisher":"Elsevier BV","page":"30-48","volume":197,"user_id":"93826"},{"page":"193-215","publisher":"Hiroshima University - Department of Mathematics","_id":"40068","user_id":"58312","volume":44,"status":"public","citation":{"short":"K. Bogdan, B. Dyda, T. Luks, Hiroshima Mathematical Journal 44 (2014) 193–215.","chicago":"Bogdan, Krzysztof, Bartłomiej Dyda, and Tomasz Luks. “On Hardy Spaces of Local and Nonlocal Operators.” <i>Hiroshima Mathematical Journal</i> 44, no. 2 (2014): 193–215. <a href=\"https://doi.org/10.32917/hmj/1408972907\">https://doi.org/10.32917/hmj/1408972907</a>.","apa":"Bogdan, K., Dyda, B., &#38; Luks, T. (2014). On Hardy spaces of local and nonlocal operators. <i>Hiroshima Mathematical Journal</i>, <i>44</i>(2), 193–215. <a href=\"https://doi.org/10.32917/hmj/1408972907\">https://doi.org/10.32917/hmj/1408972907</a>","ieee":"K. Bogdan, B. Dyda, and T. Luks, “On Hardy spaces of local and nonlocal operators,” <i>Hiroshima Mathematical Journal</i>, vol. 44, no. 2, pp. 193–215, 2014, doi: <a href=\"https://doi.org/10.32917/hmj/1408972907\">10.32917/hmj/1408972907</a>.","ama":"Bogdan K, Dyda B, Luks T. On Hardy spaces of local and nonlocal operators. <i>Hiroshima Mathematical Journal</i>. 2014;44(2):193-215. doi:<a href=\"https://doi.org/10.32917/hmj/1408972907\">10.32917/hmj/1408972907</a>","bibtex":"@article{Bogdan_Dyda_Luks_2014, title={On Hardy spaces of local and nonlocal operators}, volume={44}, DOI={<a href=\"https://doi.org/10.32917/hmj/1408972907\">10.32917/hmj/1408972907</a>}, number={2}, journal={Hiroshima Mathematical Journal}, publisher={Hiroshima University - Department of Mathematics}, author={Bogdan, Krzysztof and Dyda, Bartłomiej and Luks, Tomasz}, year={2014}, pages={193–215} }","mla":"Bogdan, Krzysztof, et al. “On Hardy Spaces of Local and Nonlocal Operators.” <i>Hiroshima Mathematical Journal</i>, vol. 44, no. 2, Hiroshima University - Department of Mathematics, 2014, pp. 193–215, doi:<a href=\"https://doi.org/10.32917/hmj/1408972907\">10.32917/hmj/1408972907</a>."},"language":[{"iso":"eng"}],"doi":"10.32917/hmj/1408972907","year":"2014","title":"On Hardy spaces of local and nonlocal operators","publication_identifier":{"issn":["0018-2079"]},"author":[{"first_name":"Krzysztof","last_name":"Bogdan","full_name":"Bogdan, Krzysztof"},{"first_name":"Bartłomiej","last_name":"Dyda","full_name":"Dyda, Bartłomiej"},{"id":"58312","first_name":"Tomasz","last_name":"Luks","full_name":"Luks, Tomasz"}],"date_updated":"2023-01-26T17:20:41Z","publication_status":"published","intvolume":"        44","date_created":"2023-01-25T15:46:01Z","type":"journal_article","department":[{"_id":"555"}],"publication":"Hiroshima Mathematical Journal","issue":"2","extern":"1"},{"publication":"LMS Journal of Computation and Mathematics","issue":"1","abstract":[{"text":"Computational Galois theory, in particular the problem of computing the Galois group of a given polynomial, is a very old problem. Currently, the best algorithmic solution is Stauduhar’s method. Computationally, one of the key challenges in the application of Stauduhar’s method is to find, for a given pair of groups H<G, a G-relative H-invariant, that is a multivariate polynomial F that is H-invariant, but not G-invariant. While generic, theoretical methods are known to find such F, in general they yield impractical answers. We give a general method for computing invariants of large degree which improves on previous known methods, as well as various special invariants that are derived from the structure of the groups. We then apply our new invariants to the task of computing the Galois groups of polynomials over the rational numbers, resulting in the first practical degree independent algorithm.","lang":"eng"}],"date_created":"2022-12-22T10:53:44Z","keyword":["Computational Theory and Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"102"}],"title":"Computation of Galois groups of rational polynomials","year":"2014","author":[{"full_name":"Fieker, Claus","last_name":"Fieker","first_name":"Claus"},{"full_name":"Klüners, Jürgen","first_name":"Jürgen","last_name":"Klüners","id":"21202"}],"publication_identifier":{"issn":["1461-1570"]},"date_updated":"2023-03-06T09:43:56Z","publication_status":"published","intvolume":"        17","language":[{"iso":"eng"}],"doi":"10.1112/s1461157013000302","citation":{"bibtex":"@article{Fieker_Klüners_2014, title={Computation of Galois groups of rational polynomials}, volume={17}, DOI={<a href=\"https://doi.org/10.1112/s1461157013000302\">10.1112/s1461157013000302</a>}, number={1}, journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Fieker, Claus and Klüners, Jürgen}, year={2014}, pages={141–158} }","ama":"Fieker C, Klüners J. Computation of Galois groups of rational polynomials. <i>LMS Journal of Computation and Mathematics</i>. 2014;17(1):141-158. doi:<a href=\"https://doi.org/10.1112/s1461157013000302\">10.1112/s1461157013000302</a>","mla":"Fieker, Claus, and Jürgen Klüners. “Computation of Galois Groups of Rational Polynomials.” <i>LMS Journal of Computation and Mathematics</i>, vol. 17, no. 1, Wiley, 2014, pp. 141–58, doi:<a href=\"https://doi.org/10.1112/s1461157013000302\">10.1112/s1461157013000302</a>.","short":"C. Fieker, J. Klüners, LMS Journal of Computation and Mathematics 17 (2014) 141–158.","chicago":"Fieker, Claus, and Jürgen Klüners. “Computation of Galois Groups of Rational Polynomials.” <i>LMS Journal of Computation and Mathematics</i> 17, no. 1 (2014): 141–58. <a href=\"https://doi.org/10.1112/s1461157013000302\">https://doi.org/10.1112/s1461157013000302</a>.","ieee":"C. Fieker and J. Klüners, “Computation of Galois groups of rational polynomials,” <i>LMS Journal of Computation and Mathematics</i>, vol. 17, no. 1, pp. 141–158, 2014, doi: <a href=\"https://doi.org/10.1112/s1461157013000302\">10.1112/s1461157013000302</a>.","apa":"Fieker, C., &#38; Klüners, J. (2014). Computation of Galois groups of rational polynomials. <i>LMS Journal of Computation and Mathematics</i>, <i>17</i>(1), 141–158. <a href=\"https://doi.org/10.1112/s1461157013000302\">https://doi.org/10.1112/s1461157013000302</a>"},"external_id":{"arxiv":["1211.3588"]},"status":"public","page":"141-158","publisher":"Wiley","_id":"34845","user_id":"93826","volume":17},{"doi":"10.1016/j.jnt.2013.10.007","language":[{"iso":"eng"}],"intvolume":"       136","publication_status":"published","date_updated":"2023-04-04T09:13:29Z","publication_identifier":{"issn":["0022-314X"]},"author":[{"last_name":"Kirschmer","first_name":"Markus","full_name":"Kirschmer, Markus","id":"82258"}],"year":"2014","title":"One-class genera of maximal integral quadratic forms","department":[{"_id":"102"}],"type":"journal_article","keyword":["Algebra and Number Theory"],"date_created":"2023-03-07T08:29:34Z","extern":"1","abstract":[{"text":"Suppose Q is a definite quadratic form on a vector space V over some totally real field K ≠ Q. Then the maximal integral Zₖ-lattices in (V,Q) are locally isometric everywhere and hence form a single genus. We enumerate all orthogonal spaces (V,Q) of dimension at least 3, where the corresponding genus of maximal integral lattices consists of a single isometry class. It turns out, there are 471 such genera. Moreover, the dimension of V and the degree of K are bounded by 6 and 5 respectively. This classification also yields all maximal quaternion orders of type number one.","lang":"eng"}],"publication":"Journal of Number Theory","volume":136,"user_id":"93826","publisher":"Elsevier BV","_id":"42793","page":"375-393","status":"public","citation":{"bibtex":"@article{Kirschmer_2014, title={One-class genera of maximal integral quadratic forms}, volume={136}, DOI={<a href=\"https://doi.org/10.1016/j.jnt.2013.10.007\">10.1016/j.jnt.2013.10.007</a>}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Kirschmer, Markus}, year={2014}, pages={375–393} }","ama":"Kirschmer M. One-class genera of maximal integral quadratic forms. <i>Journal of Number Theory</i>. 2014;136:375-393. doi:<a href=\"https://doi.org/10.1016/j.jnt.2013.10.007\">10.1016/j.jnt.2013.10.007</a>","mla":"Kirschmer, Markus. “One-Class Genera of Maximal Integral Quadratic Forms.” <i>Journal of Number Theory</i>, vol. 136, Elsevier BV, 2014, pp. 375–93, doi:<a href=\"https://doi.org/10.1016/j.jnt.2013.10.007\">10.1016/j.jnt.2013.10.007</a>.","chicago":"Kirschmer, Markus. “One-Class Genera of Maximal Integral Quadratic Forms.” <i>Journal of Number Theory</i> 136 (2014): 375–93. <a href=\"https://doi.org/10.1016/j.jnt.2013.10.007\">https://doi.org/10.1016/j.jnt.2013.10.007</a>.","short":"M. Kirschmer, Journal of Number Theory 136 (2014) 375–393.","ieee":"M. Kirschmer, “One-class genera of maximal integral quadratic forms,” <i>Journal of Number Theory</i>, vol. 136, pp. 375–393, 2014, doi: <a href=\"https://doi.org/10.1016/j.jnt.2013.10.007\">10.1016/j.jnt.2013.10.007</a>.","apa":"Kirschmer, M. (2014). One-class genera of maximal integral quadratic forms. <i>Journal of Number Theory</i>, <i>136</i>, 375–393. <a href=\"https://doi.org/10.1016/j.jnt.2013.10.007\">https://doi.org/10.1016/j.jnt.2013.10.007</a>"}},{"abstract":[{"text":"We exhibit a practical algorithm for solving the constructive membership problem for discrete free subgroups of rank 2 in PSL₂(R) or SL₂(R). This algorithm, together with methods for checking whether a two-generator subgroup of PSL₂(R) or SL₂(R) is discrete and free, have been implemented in Magma for groups defined over real algebraic number fields.","lang":"eng"}],"extern":"1","issue":"1","publication":"Glasgow Mathematical Journal","department":[{"_id":"102"}],"type":"journal_article","keyword":["General Mathematics"],"date_created":"2023-03-07T08:47:42Z","intvolume":"        57","date_updated":"2023-04-04T07:55:16Z","publication_status":"published","author":[{"id":"82258","full_name":"Kirschmer, Markus","last_name":"Kirschmer","first_name":"Markus"},{"full_name":"LEEDHAM-GREEN, CHARLES","last_name":"LEEDHAM-GREEN","first_name":"CHARLES"}],"publication_identifier":{"issn":["0017-0895","1469-509X"]},"title":"Computing with subgroups of the modular group ","year":"2014","doi":"10.1017/s0017089514000202","language":[{"iso":"eng"}],"citation":{"ama":"Kirschmer M, LEEDHAM-GREEN C. Computing with subgroups of the modular group . <i>Glasgow Mathematical Journal</i>. 2014;57(1):173-180. doi:<a href=\"https://doi.org/10.1017/s0017089514000202\">10.1017/s0017089514000202</a>","bibtex":"@article{Kirschmer_LEEDHAM-GREEN_2014, title={Computing with subgroups of the modular group }, volume={57}, DOI={<a href=\"https://doi.org/10.1017/s0017089514000202\">10.1017/s0017089514000202</a>}, number={1}, journal={Glasgow Mathematical Journal}, publisher={Cambridge University Press (CUP)}, author={Kirschmer, Markus and LEEDHAM-GREEN, CHARLES}, year={2014}, pages={173–180} }","mla":"Kirschmer, Markus, and CHARLES LEEDHAM-GREEN. “Computing with Subgroups of the Modular Group .” <i>Glasgow Mathematical Journal</i>, vol. 57, no. 1, Cambridge University Press (CUP), 2014, pp. 173–80, doi:<a href=\"https://doi.org/10.1017/s0017089514000202\">10.1017/s0017089514000202</a>.","short":"M. Kirschmer, C. LEEDHAM-GREEN, Glasgow Mathematical Journal 57 (2014) 173–180.","chicago":"Kirschmer, Markus, and CHARLES LEEDHAM-GREEN. “Computing with Subgroups of the Modular Group .” <i>Glasgow Mathematical Journal</i> 57, no. 1 (2014): 173–80. <a href=\"https://doi.org/10.1017/s0017089514000202\">https://doi.org/10.1017/s0017089514000202</a>.","apa":"Kirschmer, M., &#38; LEEDHAM-GREEN, C. (2014). Computing with subgroups of the modular group . <i>Glasgow Mathematical Journal</i>, <i>57</i>(1), 173–180. <a href=\"https://doi.org/10.1017/s0017089514000202\">https://doi.org/10.1017/s0017089514000202</a>","ieee":"M. Kirschmer and C. LEEDHAM-GREEN, “Computing with subgroups of the modular group ,” <i>Glasgow Mathematical Journal</i>, vol. 57, no. 1, pp. 173–180, 2014, doi: <a href=\"https://doi.org/10.1017/s0017089514000202\">10.1017/s0017089514000202</a>."},"status":"public","volume":57,"user_id":"93826","publisher":"Cambridge University Press (CUP)","_id":"42801","page":"173-180"},{"issue":"1","publication":"LMS Journal of Computation and Mathematics","extern":"1","abstract":[{"text":"We exhibit a practical algorithm for solving the constructive membership problem for discrete free subgroups of rank 2 in PSL₂(R) or SL₂(R). This algorithm, together with methods for checking whether a two-generator subgroup of PSL₂(R) or SL₂(R) is discrete and free, have been implemented in Magma for groups defined over real algebraic number fields.","lang":"eng"}],"date_created":"2023-03-07T08:30:15Z","type":"journal_article","keyword":["Computational Theory and Mathematics","General Mathematics"],"department":[{"_id":"102"}],"year":"2014","title":"The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R)","author":[{"last_name":"Eick","first_name":"B.","full_name":"Eick, B."},{"id":"82258","last_name":"Kirschmer","first_name":"Markus","full_name":"Kirschmer, Markus"},{"full_name":"Leedham-Green, C.","last_name":"Leedham-Green","first_name":"C."}],"publication_identifier":{"issn":["1461-1570"]},"publication_status":"published","date_updated":"2023-04-04T09:31:17Z","intvolume":"        17","language":[{"iso":"eng"}],"doi":"10.1112/s1461157014000047","citation":{"bibtex":"@article{Eick_Kirschmer_Leedham-Green_2014, title={The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R)}, volume={17}, DOI={<a href=\"https://doi.org/10.1112/s1461157014000047\">10.1112/s1461157014000047</a>}, number={1}, journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Eick, B. and Kirschmer, Markus and Leedham-Green, C.}, year={2014}, pages={345–359} }","ama":"Eick B, Kirschmer M, Leedham-Green C. The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R). <i>LMS Journal of Computation and Mathematics</i>. 2014;17(1):345-359. doi:<a href=\"https://doi.org/10.1112/s1461157014000047\">10.1112/s1461157014000047</a>","mla":"Eick, B., et al. “The Constructive Membership Problem for Discrete Free Subgroups of Rank 2 of SL₂(R).” <i>LMS Journal of Computation and Mathematics</i>, vol. 17, no. 1, Wiley, 2014, pp. 345–59, doi:<a href=\"https://doi.org/10.1112/s1461157014000047\">10.1112/s1461157014000047</a>.","short":"B. Eick, M. Kirschmer, C. Leedham-Green, LMS Journal of Computation and Mathematics 17 (2014) 345–359.","chicago":"Eick, B., Markus Kirschmer, and C. Leedham-Green. “The Constructive Membership Problem for Discrete Free Subgroups of Rank 2 of SL₂(R).” <i>LMS Journal of Computation and Mathematics</i> 17, no. 1 (2014): 345–59. <a href=\"https://doi.org/10.1112/s1461157014000047\">https://doi.org/10.1112/s1461157014000047</a>.","ieee":"B. Eick, M. Kirschmer, and C. Leedham-Green, “The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R),” <i>LMS Journal of Computation and Mathematics</i>, vol. 17, no. 1, pp. 345–359, 2014, doi: <a href=\"https://doi.org/10.1112/s1461157014000047\">10.1112/s1461157014000047</a>.","apa":"Eick, B., Kirschmer, M., &#38; Leedham-Green, C. (2014). The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R). <i>LMS Journal of Computation and Mathematics</i>, <i>17</i>(1), 345–359. <a href=\"https://doi.org/10.1112/s1461157014000047\">https://doi.org/10.1112/s1461157014000047</a>"},"status":"public","page":"345-359","publisher":"Wiley","_id":"42794","user_id":"93826","volume":17},{"_id":"44341","language":[{"iso":"eng"}],"page":"173–183","volume":287,"user_id":"49063","author":[{"first_name":"Igor","last_name":"Burban","full_name":"Burban, Igor","id":"72064"},{"full_name":"Kreußler, B.","first_name":"B.","last_name":"Kreußler"}],"status":"public","year":"2014","title":"Analytic moduli spaces of simple sheaves on families of integral curves","intvolume":"       287","publication_status":"published","date_updated":"2023-05-07T01:42:01Z","date_created":"2023-05-03T00:24:25Z","department":[{"_id":"602"}],"type":"journal_article","citation":{"chicago":"Burban, Igor, and B. Kreußler. “Analytic Moduli Spaces of Simple Sheaves on Families of Integral Curves.” <i>Mathematische Nachrichten</i> 287, no. 2–3 (2014): 173–183.","short":"I. Burban, B. Kreußler, Mathematische Nachrichten 287 (2014) 173–183.","apa":"Burban, I., &#38; Kreußler, B. (2014). Analytic moduli spaces of simple sheaves on families of integral curves. <i>Mathematische Nachrichten</i>, <i>287</i>(2–3), 173–183.","ieee":"I. Burban and B. Kreußler, “Analytic moduli spaces of simple sheaves on families of integral curves,” <i>Mathematische Nachrichten</i>, vol. 287, no. 2–3, pp. 173–183, 2014.","ama":"Burban I, Kreußler B. Analytic moduli spaces of simple sheaves on families of integral curves. <i>Mathematische Nachrichten</i>. 2014;287(2–3):173–183.","bibtex":"@article{Burban_Kreußler_2014, title={Analytic moduli spaces of simple sheaves on families of integral curves}, volume={287}, number={2–3}, journal={Mathematische Nachrichten}, author={Burban, Igor and Kreußler, B.}, year={2014}, pages={173–183} }","mla":"Burban, Igor, and B. Kreußler. “Analytic Moduli Spaces of Simple Sheaves on Families of Integral Curves.” <i>Mathematische Nachrichten</i>, vol. 287, no. 2–3, 2014, pp. 173–183."},"issue":"2–3","publication":"Mathematische Nachrichten","extern":"1"},{"type":"conference","department":[{"_id":"97"},{"_id":"611"}],"place":"Bern","date_created":"2023-06-20T18:45:01Z","extern":"1","publication":"Vorsprung für alle! Erhöhung der Chancengerechtigkeit durch Projekte der Frühpädagogik","citation":{"ama":"Bruns J, Walter-Laager C, Pfiffner M, Schwarz J. Beobachten und Dokumentieren. Basis zur chancengerechten Gestaltung des pädagogischen Alltags. In: Walter-Laager C, Pfiffner M, Fasseing-Heim K, eds. <i>Vorsprung für alle! Erhöhung der Chancengerechtigkeit durch Projekte der Frühpädagogik</i>. hep Verlag; 2014:132–168.","bibtex":"@inproceedings{Bruns_Walter-Laager_Pfiffner_Schwarz_2014, place={Bern}, title={Beobachten und Dokumentieren. Basis zur chancengerechten Gestaltung des pädagogischen Alltags}, booktitle={Vorsprung für alle! Erhöhung der Chancengerechtigkeit durch Projekte der Frühpädagogik}, publisher={hep Verlag}, author={Bruns, Julia and Walter-Laager, C. and Pfiffner, M. and Schwarz, J.}, editor={Walter-Laager, C. and Pfiffner, M. and Fasseing-Heim, K.}, year={2014}, pages={132–168} }","mla":"Bruns, Julia, et al. “Beobachten und Dokumentieren. Basis zur chancengerechten Gestaltung des pädagogischen Alltags.” <i>Vorsprung für alle! Erhöhung der Chancengerechtigkeit durch Projekte der Frühpädagogik</i>, edited by C. Walter-Laager et al., hep Verlag, 2014, pp. 132–168.","chicago":"Bruns, Julia, C. Walter-Laager, M. Pfiffner, and J. Schwarz. “Beobachten und Dokumentieren. Basis zur chancengerechten Gestaltung des pädagogischen Alltags.” In <i>Vorsprung für alle! Erhöhung der Chancengerechtigkeit durch Projekte der Frühpädagogik</i>, edited by C. Walter-Laager, M. Pfiffner, and K. Fasseing-Heim, 132–168. Bern: hep Verlag, 2014.","short":"J. Bruns, C. Walter-Laager, M. Pfiffner, J. Schwarz, in: C. Walter-Laager, M. Pfiffner, K. Fasseing-Heim (Eds.), Vorsprung für alle! Erhöhung der Chancengerechtigkeit durch Projekte der Frühpädagogik, hep Verlag, Bern, 2014, pp. 132–168.","apa":"Bruns, J., Walter-Laager, C., Pfiffner, M., &#38; Schwarz, J. (2014). Beobachten und Dokumentieren. Basis zur chancengerechten Gestaltung des pädagogischen Alltags. In C. Walter-Laager, M. Pfiffner, &#38; K. Fasseing-Heim (Eds.), <i>Vorsprung für alle! Erhöhung der Chancengerechtigkeit durch Projekte der Frühpädagogik</i> (pp. 132–168). hep Verlag.","ieee":"J. Bruns, C. Walter-Laager, M. Pfiffner, and J. Schwarz, “Beobachten und Dokumentieren. Basis zur chancengerechten Gestaltung des pädagogischen Alltags,” in <i>Vorsprung für alle! Erhöhung der Chancengerechtigkeit durch Projekte der Frühpädagogik</i>, 2014, pp. 132–168."},"user_id":"49063","editor":[{"first_name":"C.","last_name":"Walter-Laager","full_name":"Walter-Laager, C."},{"full_name":"Pfiffner, M.","last_name":"Pfiffner","first_name":"M."},{"full_name":"Fasseing-Heim, K.","first_name":"K.","last_name":"Fasseing-Heim"}],"page":"132–168","publisher":"hep Verlag","_id":"45686","language":[{"iso":"ger"}],"date_updated":"2023-06-20T18:45:06Z","publication_status":"published","status":"public","title":"Beobachten und Dokumentieren. 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Eine empirische Studie zum di-daktischen Handeln von Erzieherinnen und Erziehern im Bereich Mathematik}, volume={21}, publisher={Waxmann}, author={Bruns, Julia}, year={2014}, collection={Empirische Studien zur Didaktik der Mathematik} }","apa":"Bruns, J. (2014). <i>Adaptive Förderung in der elementarpädagogischen Praxis. Eine empirische Studie zum di-daktischen Handeln von Erzieherinnen und Erziehern im Bereich Mathematik</i> (Vol. 21). Waxmann.","ieee":"J. Bruns, <i>Adaptive Förderung in der elementarpädagogischen Praxis. Eine empirische Studie zum di-daktischen Handeln von Erzieherinnen und Erziehern im Bereich Mathematik</i>, vol. 21. Münster: Waxmann, 2014.","short":"J. Bruns, Adaptive Förderung in der elementarpädagogischen Praxis. Eine empirische Studie zum di-daktischen Handeln von Erzieherinnen und Erziehern im Bereich Mathematik, Waxmann, Münster, 2014.","chicago":"Bruns, Julia. <i>Adaptive Förderung in der elementarpädagogischen Praxis. Eine empirische Studie zum di-daktischen Handeln von Erzieherinnen und Erziehern im Bereich Mathematik</i>. Vol. 21. Empirische Studien zur Didaktik der Mathematik. Münster: Waxmann, 2014."},"extern":"1"}]