--- _id: '53191' abstract: - lang: eng text: "

This paper is the first in a series of two dedicated to the study of period relations of the type \r\n\r\n \r\n \r\n \ L\r\n \r\n \r\n (\r\n \ \r\n \r\n \r\n 1\r\n \ 2\r\n \r\n +\r\n \ k\r\n ,\r\n Π\r\n \r\n \r\n \ )\r\n \r\n \ \r\n \r\n ∈\r\n \r\n (\r\n 2\r\n π\r\n i\r\n \r\n )\r\n \r\n \ d\r\n ⋅\r\n k\r\n \ \r\n \r\n \r\n Ω\r\n \r\n \ (\r\n −\r\n \ 1\r\n \r\n )\r\n \ k\r\n \r\n \r\n \ \r\n \r\n \\bf Q\r\n \r\n (\r\n \ Π\r\n )\r\n \ ,\r\n \r\n \r\n \ 1\r\n 2\r\n \r\n \ +\r\n k\r\n \r\n critical\r\n ,\r\n \r\n \ \\begin{equation*} L\\Big (\\frac {1}{2}+k,\\Pi \\Big )\\;\\in \\;(2\\pi i)^{d\\cdot k}\\Omega _{(-1)^k}\\textrm {\\bf Q}(\\Pi ),\\quad \\frac {1}{2}+k\\;\\text {critical}, \\end{equation*}\r\n \ \r\n\r\n\r\n for certain automorphic representations \r\n\r\n \r\n Π\r\n \\Pi\r\n \ \r\n\r\n of a reductive group \r\n\r\n \r\n \r\n G\r\n \ .\r\n \r\n G.\r\n \ \r\n\r\n In this paper we discuss the case \r\n\r\n \r\n \r\n G\r\n \ =\r\n \r\n G\r\n L\r\n \ \r\n (\r\n n\r\n \ +\r\n 1\r\n )\r\n \ ×\r\n \r\n \ G\r\n L\r\n \ \r\n (\r\n n\r\n \ )\r\n .\r\n \r\n \ G=\\mathrm {GL}(n+1)\\times \\mathrm {GL}(n).\r\n \r\n\r\n The case \r\n\r\n \ \r\n \r\n G\r\n =\r\n \ \r\n G\r\n \ L\r\n \r\n (\r\n 2\r\n n\r\n \ )\r\n \r\n G=\\mathrm {GL}(2n)\r\n \r\n\r\n is discussed in part two. Our method is representation theoretic and relies on the author’s recent results on global rational structures on automorphic representations. We show that the above period relations are intimately related to the field of definition of the global representation \r\n\r\n \ \r\n Π\r\n \ \\Pi\r\n \r\n\r\n under consideration. The new period relations we prove are in accordance with Deligne’s Conjecture on special values of \r\n\r\n \r\n \ L\r\n L\r\n \ \r\n\r\n-functions, and the author expects this method to apply to other cases as well.

" article_type: original author: - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski orcid: 0000-0002-3184-237X citation: ama: "Januszewski F. On period relations for automorphic \U0001D43F-functions I. Transactions of the American Mathematical Society. 2018;371(9):6547-6580. doi:10.1090/tran/7527" apa: "Januszewski, F. (2018). On period relations for automorphic \U0001D43F-functions I. Transactions of the American Mathematical Society, 371(9), 6547–6580. https://doi.org/10.1090/tran/7527" bibtex: "@article{Januszewski_2018, title={On period relations for automorphic \U0001D43F-functions I}, volume={371}, DOI={10.1090/tran/7527}, number={9}, journal={Transactions of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Januszewski, Fabian}, year={2018}, pages={6547–6580} }" chicago: "Januszewski, Fabian. “On Period Relations for Automorphic \U0001D43F-Functions I.” Transactions of the American Mathematical Society 371, no. 9 (2018): 6547–80. https://doi.org/10.1090/tran/7527." ieee: "F. Januszewski, “On period relations for automorphic \U0001D43F-functions I,” Transactions of the American Mathematical Society, vol. 371, no. 9, pp. 6547–6580, 2018, doi: 10.1090/tran/7527." mla: "Januszewski, Fabian. “On Period Relations for Automorphic \U0001D43F-Functions I.” Transactions of the American Mathematical Society, vol. 371, no. 9, American Mathematical Society (AMS), 2018, pp. 6547–80, doi:10.1090/tran/7527." short: F. Januszewski, Transactions of the American Mathematical Society 371 (2018) 6547–6580. date_created: 2024-04-03T16:58:26Z date_updated: 2024-04-03T17:26:38Z doi: 10.1090/tran/7527 extern: '1' intvolume: ' 371' issue: '9' keyword: - Applied Mathematics - General Mathematics language: - iso: eng page: 6547-6580 publication: Transactions of the American Mathematical Society publication_identifier: issn: - 0002-9947 - 1088-6850 publication_status: published publisher: American Mathematical Society (AMS) status: public title: "On period relations for automorphic \U0001D43F-functions I" type: journal_article user_id: '81636' volume: 371 year: '2018' ... --- _id: '48321' author: - first_name: Lena full_name: Wessel, Lena id: '85190' last_name: Wessel - first_name: Kirstin full_name: Erath, Kirstin last_name: Erath citation: ama: Wessel L, Erath K. Theoretical frameworks for designing and analyzing language-responsive mathematics teaching–learning arrangements. ZDM. 2018;50(6):1053-1064. doi:10.1007/s11858-018-0980-y apa: Wessel, L., & Erath, K. (2018). Theoretical frameworks for designing and analyzing language-responsive mathematics teaching–learning arrangements. ZDM, 50(6), 1053–1064. https://doi.org/10.1007/s11858-018-0980-y bibtex: '@article{Wessel_Erath_2018, title={Theoretical frameworks for designing and analyzing language-responsive mathematics teaching–learning arrangements}, volume={50}, DOI={10.1007/s11858-018-0980-y}, number={6}, journal={ZDM}, publisher={Springer Science and Business Media LLC}, author={Wessel, Lena and Erath, Kirstin}, year={2018}, pages={1053–1064} }' chicago: 'Wessel, Lena, and Kirstin Erath. “Theoretical Frameworks for Designing and Analyzing Language-Responsive Mathematics Teaching–Learning Arrangements.” ZDM 50, no. 6 (2018): 1053–64. https://doi.org/10.1007/s11858-018-0980-y.' ieee: 'L. Wessel and K. Erath, “Theoretical frameworks for designing and analyzing language-responsive mathematics teaching–learning arrangements,” ZDM, vol. 50, no. 6, pp. 1053–1064, 2018, doi: 10.1007/s11858-018-0980-y.' mla: Wessel, Lena, and Kirstin Erath. “Theoretical Frameworks for Designing and Analyzing Language-Responsive Mathematics Teaching–Learning Arrangements.” ZDM, vol. 50, no. 6, Springer Science and Business Media LLC, 2018, pp. 1053–64, doi:10.1007/s11858-018-0980-y. short: L. Wessel, K. Erath, ZDM 50 (2018) 1053–1064. date_created: 2023-10-19T09:28:27Z date_updated: 2024-04-18T09:04:31Z department: - _id: '643' doi: 10.1007/s11858-018-0980-y intvolume: ' 50' issue: '6' keyword: - General Mathematics - Education language: - iso: eng page: 1053-1064 publication: ZDM publication_identifier: issn: - 1863-9690 - 1863-9704 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Theoretical frameworks for designing and analyzing language-responsive mathematics teaching–learning arrangements type: journal_article user_id: '37888' volume: 50 year: '2018' ... --- _id: '40050' author: - first_name: Boris full_name: Baeumer, Boris last_name: Baeumer - first_name: Tomasz full_name: Luks, Tomasz id: '58312' last_name: Luks - first_name: Mark M. full_name: Meerschaert, Mark M. last_name: Meerschaert citation: ama: Baeumer B, Luks T, Meerschaert MM. Space‐time fractional Dirichlet problems. Mathematische Nachrichten. 2018;291(17-18):2516-2535. doi:10.1002/mana.201700111 apa: Baeumer, B., Luks, T., & Meerschaert, M. M. (2018). Space‐time fractional Dirichlet problems. Mathematische Nachrichten, 291(17–18), 2516–2535. https://doi.org/10.1002/mana.201700111 bibtex: '@article{Baeumer_Luks_Meerschaert_2018, title={Space‐time fractional Dirichlet problems}, volume={291}, DOI={10.1002/mana.201700111}, number={17–18}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Baeumer, Boris and Luks, Tomasz and Meerschaert, Mark M.}, year={2018}, pages={2516–2535} }' chicago: 'Baeumer, Boris, Tomasz Luks, and Mark M. Meerschaert. “Space‐time Fractional Dirichlet Problems.” Mathematische Nachrichten 291, no. 17–18 (2018): 2516–35. https://doi.org/10.1002/mana.201700111.' ieee: 'B. Baeumer, T. Luks, and M. M. Meerschaert, “Space‐time fractional Dirichlet problems,” Mathematische Nachrichten, vol. 291, no. 17–18, pp. 2516–2535, 2018, doi: 10.1002/mana.201700111.' mla: Baeumer, Boris, et al. “Space‐time Fractional Dirichlet Problems.” Mathematische Nachrichten, vol. 291, no. 17–18, Wiley, 2018, pp. 2516–35, doi:10.1002/mana.201700111. short: B. Baeumer, T. Luks, M.M. Meerschaert, Mathematische Nachrichten 291 (2018) 2516–2535. date_created: 2023-01-25T15:11:01Z date_updated: 2023-01-26T17:19:39Z department: - _id: '555' doi: 10.1002/mana.201700111 intvolume: ' 291' issue: 17-18 keyword: - General Mathematics language: - iso: eng page: 2516-2535 publication: Mathematische Nachrichten publication_identifier: issn: - 0025-584X - 1522-2616 publication_status: published publisher: Wiley status: public title: Space‐time fractional Dirichlet problems type: journal_article user_id: '58312' volume: 291 year: '2018' ... --- _id: '31272' author: - first_name: Benjamin full_name: Harris, Benjamin last_name: Harris - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Harris B, Weich T. Wave front sets of reductive Lie group representations III. Advances in Mathematics. 2017;313:176-236. doi:10.1016/j.aim.2017.03.025 apa: Harris, B., & Weich, T. (2017). Wave front sets of reductive Lie group representations III. Advances in Mathematics, 313, 176–236. https://doi.org/10.1016/j.aim.2017.03.025 bibtex: '@article{Harris_Weich_2017, title={Wave front sets of reductive Lie group representations III}, volume={313}, DOI={10.1016/j.aim.2017.03.025}, journal={Advances in Mathematics}, publisher={Elsevier BV}, author={Harris, Benjamin and Weich, Tobias}, year={2017}, pages={176–236} }' chicago: 'Harris, Benjamin, and Tobias Weich. “Wave Front Sets of Reductive Lie Group Representations III.” Advances in Mathematics 313 (2017): 176–236. https://doi.org/10.1016/j.aim.2017.03.025.' ieee: 'B. Harris and T. Weich, “Wave front sets of reductive Lie group representations III,” Advances in Mathematics, vol. 313, pp. 176–236, 2017, doi: 10.1016/j.aim.2017.03.025.' mla: Harris, Benjamin, and Tobias Weich. “Wave Front Sets of Reductive Lie Group Representations III.” Advances in Mathematics, vol. 313, Elsevier BV, 2017, pp. 176–236, doi:10.1016/j.aim.2017.03.025. short: B. Harris, T. Weich, Advances in Mathematics 313 (2017) 176–236. date_created: 2022-05-17T12:16:37Z date_updated: 2022-05-19T10:15:00Z department: - _id: '10' - _id: '623' - _id: '548' doi: 10.1016/j.aim.2017.03.025 external_id: arxiv: - '1503.08431' intvolume: ' 313' keyword: - General Mathematics language: - iso: eng page: 176-236 publication: Advances in Mathematics publication_identifier: issn: - 0001-8708 publication_status: published publisher: Elsevier BV status: public title: Wave front sets of reductive Lie group representations III type: journal_article user_id: '49178' volume: 313 year: '2017' ... --- _id: '31267' author: - first_name: Colin full_name: Guillarmou, Colin last_name: Guillarmou - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Guillarmou C, Hilgert J, Weich T. Classical and quantum resonances for hyperbolic surfaces. Mathematische Annalen. 2017;370(3-4):1231-1275. doi:10.1007/s00208-017-1576-5 apa: Guillarmou, C., Hilgert, J., & Weich, T. (2017). Classical and quantum resonances for hyperbolic surfaces. Mathematische Annalen, 370(3–4), 1231–1275. https://doi.org/10.1007/s00208-017-1576-5 bibtex: '@article{Guillarmou_Hilgert_Weich_2017, title={Classical and quantum resonances for hyperbolic surfaces}, volume={370}, DOI={10.1007/s00208-017-1576-5}, number={3–4}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Guillarmou, Colin and Hilgert, Joachim and Weich, Tobias}, year={2017}, pages={1231–1275} }' chicago: 'Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “Classical and Quantum Resonances for Hyperbolic Surfaces.” Mathematische Annalen 370, no. 3–4 (2017): 1231–75. https://doi.org/10.1007/s00208-017-1576-5.' ieee: 'C. Guillarmou, J. Hilgert, and T. Weich, “Classical and quantum resonances for hyperbolic surfaces,” Mathematische Annalen, vol. 370, no. 3–4, pp. 1231–1275, 2017, doi: 10.1007/s00208-017-1576-5.' mla: Guillarmou, Colin, et al. “Classical and Quantum Resonances for Hyperbolic Surfaces.” Mathematische Annalen, vol. 370, no. 3–4, Springer Science and Business Media LLC, 2017, pp. 1231–75, doi:10.1007/s00208-017-1576-5. short: C. Guillarmou, J. Hilgert, T. Weich, Mathematische Annalen 370 (2017) 1231–1275. date_created: 2022-05-17T12:09:43Z date_updated: 2024-02-19T06:18:21Z department: - _id: '10' - _id: '623' - _id: '548' - _id: '91' doi: 10.1007/s00208-017-1576-5 external_id: arxiv: - '1605.08801' intvolume: ' 370' issue: 3-4 keyword: - General Mathematics language: - iso: eng page: 1231-1275 publication: Mathematische Annalen publication_identifier: issn: - 0025-5831 - 1432-1807 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Classical and quantum resonances for hyperbolic surfaces type: journal_article user_id: '49063' volume: 370 year: '2017' ... --- _id: '45943' author: - first_name: Balázs full_name: Kovács, Balázs id: '100441' last_name: Kovács orcid: 0000-0001-9872-3474 citation: ama: Kovács B. High-order evolving surface finite element method for parabolic problems on evolving surfaces. IMA Journal of Numerical Analysis. 2017;38(1):430-459. doi:10.1093/imanum/drx013 apa: Kovács, B. (2017). High-order evolving surface finite element method for parabolic problems on evolving surfaces. IMA Journal of Numerical Analysis, 38(1), 430–459. https://doi.org/10.1093/imanum/drx013 bibtex: '@article{Kovács_2017, title={High-order evolving surface finite element method for parabolic problems on evolving surfaces}, volume={38}, DOI={10.1093/imanum/drx013}, number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Kovács, Balázs}, year={2017}, pages={430–459} }' chicago: 'Kovács, Balázs. “High-Order Evolving Surface Finite Element Method for Parabolic Problems on Evolving Surfaces.” IMA Journal of Numerical Analysis 38, no. 1 (2017): 430–59. https://doi.org/10.1093/imanum/drx013.' ieee: 'B. Kovács, “High-order evolving surface finite element method for parabolic problems on evolving surfaces,” IMA Journal of Numerical Analysis, vol. 38, no. 1, pp. 430–459, 2017, doi: 10.1093/imanum/drx013.' mla: Kovács, Balázs. “High-Order Evolving Surface Finite Element Method for Parabolic Problems on Evolving Surfaces.” IMA Journal of Numerical Analysis, vol. 38, no. 1, Oxford University Press (OUP), 2017, pp. 430–59, doi:10.1093/imanum/drx013. short: B. Kovács, IMA Journal of Numerical Analysis 38 (2017) 430–459. date_created: 2023-07-10T11:39:23Z date_updated: 2024-04-03T09:22:26Z department: - _id: '841' doi: 10.1093/imanum/drx013 intvolume: ' 38' issue: '1' keyword: - Applied Mathematics - Computational Mathematics - General Mathematics language: - iso: eng page: 430-459 publication: IMA Journal of Numerical Analysis publication_identifier: issn: - 0272-4979 - 1464-3642 publication_status: published publisher: Oxford University Press (OUP) status: public title: High-order evolving surface finite element method for parabolic problems on evolving surfaces type: journal_article user_id: '100441' volume: 38 year: '2017' ... --- _id: '53189' article_type: original author: - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski citation: ama: Januszewski F. Rational structures on automorphic representations. Mathematische Annalen. 2017;370(3-4):1805-1881. doi:10.1007/s00208-017-1567-6 apa: Januszewski, F. (2017). Rational structures on automorphic representations. Mathematische Annalen, 370(3–4), 1805–1881. https://doi.org/10.1007/s00208-017-1567-6 bibtex: '@article{Januszewski_2017, title={Rational structures on automorphic representations}, volume={370}, DOI={10.1007/s00208-017-1567-6}, number={3–4}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Januszewski, Fabian}, year={2017}, pages={1805–1881} }' chicago: 'Januszewski, Fabian. “Rational Structures on Automorphic Representations.” Mathematische Annalen 370, no. 3–4 (2017): 1805–81. https://doi.org/10.1007/s00208-017-1567-6.' ieee: 'F. Januszewski, “Rational structures on automorphic representations,” Mathematische Annalen, vol. 370, no. 3–4, pp. 1805–1881, 2017, doi: 10.1007/s00208-017-1567-6.' mla: Januszewski, Fabian. “Rational Structures on Automorphic Representations.” Mathematische Annalen, vol. 370, no. 3–4, Springer Science and Business Media LLC, 2017, pp. 1805–81, doi:10.1007/s00208-017-1567-6. short: F. Januszewski, Mathematische Annalen 370 (2017) 1805–1881. date_created: 2024-04-03T16:54:45Z date_updated: 2024-04-03T17:12:59Z doi: 10.1007/s00208-017-1567-6 extern: '1' intvolume: ' 370' issue: 3-4 keyword: - General Mathematics language: - iso: eng page: 1805-1881 publication: Mathematische Annalen publication_identifier: issn: - 0025-5831 - 1432-1807 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Rational structures on automorphic representations type: journal_article user_id: '81636' volume: 370 year: '2017' ... --- _id: '48323' author: - first_name: Alexander full_name: Schüler-Meyer, Alexander last_name: Schüler-Meyer - first_name: Susanne full_name: Prediger, Susanne last_name: Prediger - first_name: Taha full_name: Kuzu, Taha last_name: Kuzu - first_name: Lena full_name: Wessel, Lena id: '85190' last_name: Wessel - first_name: Angelika full_name: Redder, Angelika last_name: Redder citation: ama: Schüler-Meyer A, Prediger S, Kuzu T, Wessel L, Redder A. Is Formal Language Proficiency in the Home Language Required to Profit from a Bilingual Teaching Intervention in Mathematics? A Mixed Methods Study on Fostering Multilingual Students’ Conceptual Understanding. International Journal of Science and Mathematics Education. 2017;17(2):317-339. doi:10.1007/s10763-017-9857-8 apa: Schüler-Meyer, A., Prediger, S., Kuzu, T., Wessel, L., & Redder, A. (2017). Is Formal Language Proficiency in the Home Language Required to Profit from a Bilingual Teaching Intervention in Mathematics? A Mixed Methods Study on Fostering Multilingual Students’ Conceptual Understanding. International Journal of Science and Mathematics Education, 17(2), 317–339. https://doi.org/10.1007/s10763-017-9857-8 bibtex: '@article{Schüler-Meyer_Prediger_Kuzu_Wessel_Redder_2017, title={Is Formal Language Proficiency in the Home Language Required to Profit from a Bilingual Teaching Intervention in Mathematics? A Mixed Methods Study on Fostering Multilingual Students’ Conceptual Understanding}, volume={17}, DOI={10.1007/s10763-017-9857-8}, number={2}, journal={International Journal of Science and Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Schüler-Meyer, Alexander and Prediger, Susanne and Kuzu, Taha and Wessel, Lena and Redder, Angelika}, year={2017}, pages={317–339} }' chicago: 'Schüler-Meyer, Alexander, Susanne Prediger, Taha Kuzu, Lena Wessel, and Angelika Redder. “Is Formal Language Proficiency in the Home Language Required to Profit from a Bilingual Teaching Intervention in Mathematics? A Mixed Methods Study on Fostering Multilingual Students’ Conceptual Understanding.” International Journal of Science and Mathematics Education 17, no. 2 (2017): 317–39. https://doi.org/10.1007/s10763-017-9857-8.' ieee: 'A. Schüler-Meyer, S. Prediger, T. Kuzu, L. Wessel, and A. Redder, “Is Formal Language Proficiency in the Home Language Required to Profit from a Bilingual Teaching Intervention in Mathematics? A Mixed Methods Study on Fostering Multilingual Students’ Conceptual Understanding,” International Journal of Science and Mathematics Education, vol. 17, no. 2, pp. 317–339, 2017, doi: 10.1007/s10763-017-9857-8.' mla: Schüler-Meyer, Alexander, et al. “Is Formal Language Proficiency in the Home Language Required to Profit from a Bilingual Teaching Intervention in Mathematics? A Mixed Methods Study on Fostering Multilingual Students’ Conceptual Understanding.” International Journal of Science and Mathematics Education, vol. 17, no. 2, Springer Science and Business Media LLC, 2017, pp. 317–39, doi:10.1007/s10763-017-9857-8. short: A. Schüler-Meyer, S. Prediger, T. Kuzu, L. Wessel, A. Redder, International Journal of Science and Mathematics Education 17 (2017) 317–339. date_created: 2023-10-19T09:31:20Z date_updated: 2024-04-18T09:04:07Z department: - _id: '643' doi: 10.1007/s10763-017-9857-8 intvolume: ' 17' issue: '2' keyword: - General Mathematics - Education language: - iso: eng page: 317-339 publication: International Journal of Science and Mathematics Education publication_identifier: issn: - 1571-0068 - 1573-1774 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Is Formal Language Proficiency in the Home Language Required to Profit from a Bilingual Teaching Intervention in Mathematics? A Mixed Methods Study on Fostering Multilingual Students’ Conceptual Understanding type: journal_article user_id: '37888' volume: 17 year: '2017' ... --- _id: '33260' abstract: - lang: eng text: In this paper we continue the study of group representations which are counterexamples to the Ize conjecture. As in previous papers we find new infinite series of finite groups leading to such counterexamples. These new series are quite different from the previous ones, for example the group orders do not form an arithmetic progression. However, as before we find Lie groups which contain all these groups. This additional structure was observed, but not used in the previous studies of this problem. Here we also investigate the related bifurcations. To a large extent, these are closely related to the presence of mentioned compact Lie group containing the finite groups. This might give a tool to study the bifurcations related to all low dimensional counterexamples of the Ize conjecture. It also gives an indication of where we can expect to find examples where the bifurcation behaviour is different from what we have seen in the known examples. author: - first_name: Reiner full_name: Lauterbach, Reiner last_name: Lauterbach - first_name: Sören full_name: Schwenker, Sören id: '97359' last_name: Schwenker orcid: 0000-0002-8054-2058 citation: ama: Lauterbach R, Schwenker S. Equivariant bifurcations in four-dimensional fixed point spaces. Dynamical Systems. 2016;32(1):117-147. doi:10.1080/14689367.2016.1219696 apa: Lauterbach, R., & Schwenker, S. (2016). Equivariant bifurcations in four-dimensional fixed point spaces. Dynamical Systems, 32(1), 117–147. https://doi.org/10.1080/14689367.2016.1219696 bibtex: '@article{Lauterbach_Schwenker_2016, title={Equivariant bifurcations in four-dimensional fixed point spaces}, volume={32}, DOI={10.1080/14689367.2016.1219696}, number={1}, journal={Dynamical Systems}, publisher={Informa UK Limited}, author={Lauterbach, Reiner and Schwenker, Sören}, year={2016}, pages={117–147} }' chicago: 'Lauterbach, Reiner, and Sören Schwenker. “Equivariant Bifurcations in Four-Dimensional Fixed Point Spaces.” Dynamical Systems 32, no. 1 (2016): 117–47. https://doi.org/10.1080/14689367.2016.1219696.' ieee: 'R. Lauterbach and S. Schwenker, “Equivariant bifurcations in four-dimensional fixed point spaces,” Dynamical Systems, vol. 32, no. 1, pp. 117–147, 2016, doi: 10.1080/14689367.2016.1219696.' mla: Lauterbach, Reiner, and Sören Schwenker. “Equivariant Bifurcations in Four-Dimensional Fixed Point Spaces.” Dynamical Systems, vol. 32, no. 1, Informa UK Limited, 2016, pp. 117–47, doi:10.1080/14689367.2016.1219696. short: R. Lauterbach, S. Schwenker, Dynamical Systems 32 (2016) 117–147. date_created: 2022-09-06T11:22:12Z date_updated: 2022-09-07T08:33:36Z doi: 10.1080/14689367.2016.1219696 extern: '1' external_id: arxiv: - '1511.00545' intvolume: ' 32' issue: '1' keyword: - Computer Science Applications - General Mathematics language: - iso: eng page: 117-147 publication: Dynamical Systems publication_identifier: issn: - 1468-9367 - 1468-9375 publication_status: published publisher: Informa UK Limited status: public title: Equivariant bifurcations in four-dimensional fixed point spaces type: journal_article user_id: '97359' volume: 32 year: '2016' ... --- _id: '45944' author: - first_name: Balázs full_name: Kovács, Balázs id: '100441' last_name: Kovács orcid: 0000-0001-9872-3474 - first_name: Christian Andreas full_name: Power Guerra, Christian Andreas last_name: Power Guerra citation: ama: Kovács B, Power Guerra CA. Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces. IMA Journal of Numerical Analysis. 2016;38(1):460-494. doi:10.1093/imanum/drw074 apa: Kovács, B., & Power Guerra, C. A. (2016). Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces. IMA Journal of Numerical Analysis, 38(1), 460–494. https://doi.org/10.1093/imanum/drw074 bibtex: '@article{Kovács_Power Guerra_2016, title={Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces}, volume={38}, DOI={10.1093/imanum/drw074}, number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Kovács, Balázs and Power Guerra, Christian Andreas}, year={2016}, pages={460–494} }' chicago: 'Kovács, Balázs, and Christian Andreas Power Guerra. “Higher Order Time Discretizations with ALE Finite Elements for Parabolic Problems on Evolving Surfaces.” IMA Journal of Numerical Analysis 38, no. 1 (2016): 460–94. https://doi.org/10.1093/imanum/drw074.' ieee: 'B. Kovács and C. A. Power Guerra, “Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces,” IMA Journal of Numerical Analysis, vol. 38, no. 1, pp. 460–494, 2016, doi: 10.1093/imanum/drw074.' mla: Kovács, Balázs, and Christian Andreas Power Guerra. “Higher Order Time Discretizations with ALE Finite Elements for Parabolic Problems on Evolving Surfaces.” IMA Journal of Numerical Analysis, vol. 38, no. 1, Oxford University Press (OUP), 2016, pp. 460–94, doi:10.1093/imanum/drw074. short: B. Kovács, C.A. Power Guerra, IMA Journal of Numerical Analysis 38 (2016) 460–494. date_created: 2023-07-10T11:39:39Z date_updated: 2024-04-03T09:22:19Z department: - _id: '841' doi: 10.1093/imanum/drw074 intvolume: ' 38' issue: '1' keyword: - Applied Mathematics - Computational Mathematics - General Mathematics language: - iso: eng page: 460-494 publication: IMA Journal of Numerical Analysis publication_identifier: issn: - 0272-4979 - 1464-3642 publication_status: published publisher: Oxford University Press (OUP) status: public title: Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces type: journal_article user_id: '100441' volume: 38 year: '2016' ... --- _id: '45937' author: - first_name: Balázs full_name: Kovács, Balázs id: '100441' last_name: Kovács orcid: 0000-0001-9872-3474 - first_name: Christian full_name: Lubich, Christian last_name: Lubich citation: ama: Kovács B, Lubich C. Numerical analysis of parabolic problems with dynamic boundary conditions. IMA Journal of Numerical Analysis. 2016;37(1):1-39. doi:10.1093/imanum/drw015 apa: Kovács, B., & Lubich, C. (2016). Numerical analysis of parabolic problems with dynamic boundary conditions. IMA Journal of Numerical Analysis, 37(1), 1–39. https://doi.org/10.1093/imanum/drw015 bibtex: '@article{Kovács_Lubich_2016, title={Numerical analysis of parabolic problems with dynamic boundary conditions}, volume={37}, DOI={10.1093/imanum/drw015}, number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Kovács, Balázs and Lubich, Christian}, year={2016}, pages={1–39} }' chicago: 'Kovács, Balázs, and Christian Lubich. “Numerical Analysis of Parabolic Problems with Dynamic Boundary Conditions.” IMA Journal of Numerical Analysis 37, no. 1 (2016): 1–39. https://doi.org/10.1093/imanum/drw015.' ieee: 'B. Kovács and C. Lubich, “Numerical analysis of parabolic problems with dynamic boundary conditions,” IMA Journal of Numerical Analysis, vol. 37, no. 1, pp. 1–39, 2016, doi: 10.1093/imanum/drw015.' mla: Kovács, Balázs, and Christian Lubich. “Numerical Analysis of Parabolic Problems with Dynamic Boundary Conditions.” IMA Journal of Numerical Analysis, vol. 37, no. 1, Oxford University Press (OUP), 2016, pp. 1–39, doi:10.1093/imanum/drw015. short: B. Kovács, C. Lubich, IMA Journal of Numerical Analysis 37 (2016) 1–39. date_created: 2023-07-10T11:35:53Z date_updated: 2024-04-03T09:23:16Z department: - _id: '841' doi: 10.1093/imanum/drw015 intvolume: ' 37' issue: '1' keyword: - Applied Mathematics - Computational Mathematics - General Mathematics language: - iso: eng page: 1-39 publication: IMA Journal of Numerical Analysis publication_identifier: issn: - 0272-4979 - 1464-3642 publication_status: published publisher: Oxford University Press (OUP) status: public title: Numerical analysis of parabolic problems with dynamic boundary conditions type: journal_article user_id: '100441' volume: 37 year: '2016' ... --- _id: '53188' article_type: original author: - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski citation: ama: Januszewski F. p-adic L-functions for Rankin–Selberg convolutions over number fields. Annales mathématiques du Québec; Special Issue in Honor of Glenn Stevens. 2016;40(2):453-489. doi:10.1007/s40316-016-0061-y apa: Januszewski, F. (2016). p-adic L-functions for Rankin–Selberg convolutions over number fields. Annales Mathématiques Du Québec; Special Issue in Honor of Glenn Stevens, 40(2), 453–489. https://doi.org/10.1007/s40316-016-0061-y bibtex: '@article{Januszewski_2016, title={p-adic L-functions for Rankin–Selberg convolutions over number fields}, volume={40}, DOI={10.1007/s40316-016-0061-y}, number={2}, journal={Annales mathématiques du Québec; Special Issue in Honor of Glenn Stevens}, publisher={Springer Science and Business Media LLC}, author={Januszewski, Fabian}, year={2016}, pages={453–489} }' chicago: 'Januszewski, Fabian. “P-Adic L-Functions for Rankin–Selberg Convolutions over Number Fields.” Annales Mathématiques Du Québec; Special Issue in Honor of Glenn Stevens 40, no. 2 (2016): 453–89. https://doi.org/10.1007/s40316-016-0061-y.' ieee: 'F. Januszewski, “p-adic L-functions for Rankin–Selberg convolutions over number fields,” Annales mathématiques du Québec; Special Issue in Honor of Glenn Stevens, vol. 40, no. 2, pp. 453–489, 2016, doi: 10.1007/s40316-016-0061-y.' mla: Januszewski, Fabian. “P-Adic L-Functions for Rankin–Selberg Convolutions over Number Fields.” Annales Mathématiques Du Québec; Special Issue in Honor of Glenn Stevens, vol. 40, no. 2, Springer Science and Business Media LLC, 2016, pp. 453–89, doi:10.1007/s40316-016-0061-y. short: F. Januszewski, Annales Mathématiques Du Québec; Special Issue in Honor of Glenn Stevens 40 (2016) 453–489. date_created: 2024-04-03T16:54:10Z date_updated: 2024-04-03T17:18:24Z doi: 10.1007/s40316-016-0061-y extern: '1' intvolume: ' 40' issue: '2' keyword: - General Mathematics language: - iso: eng page: 453-489 publication: Annales mathématiques du Québec; Special Issue in Honor of Glenn Stevens publication_identifier: issn: - 2195-4755 - 2195-4763 publication_status: published publisher: Springer Science and Business Media LLC status: public title: p-adic L-functions for Rankin–Selberg convolutions over number fields type: journal_article user_id: '81636' volume: 40 year: '2016' ... --- _id: '40066' author: - first_name: Rodrigo full_name: Bañuelos, Rodrigo last_name: Bañuelos - first_name: Krzysztof full_name: Bogdan, Krzysztof last_name: Bogdan - first_name: Tomasz full_name: Luks, Tomasz id: '58312' last_name: Luks citation: ama: Bañuelos R, Bogdan K, Luks T. Hardy–Stein identities and square functions for semigroups. Journal of the London Mathematical Society. 2016;94(2):462-478. doi:10.1112/jlms/jdw042 apa: Bañuelos, R., Bogdan, K., & Luks, T. (2016). Hardy–Stein identities and square functions for semigroups. Journal of the London Mathematical Society, 94(2), 462–478. https://doi.org/10.1112/jlms/jdw042 bibtex: '@article{Bañuelos_Bogdan_Luks_2016, title={Hardy–Stein identities and square functions for semigroups}, volume={94}, DOI={10.1112/jlms/jdw042}, 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} }' chicago: 'Bañuelos, Rodrigo, Krzysztof Bogdan, and Tomasz Luks. “Hardy–Stein Identities and Square Functions for Semigroups.” Journal of the London Mathematical Society 94, no. 2 (2016): 462–78. https://doi.org/10.1112/jlms/jdw042.' ieee: 'R. Bañuelos, K. Bogdan, and T. Luks, “Hardy–Stein identities and square functions for semigroups,” Journal of the London Mathematical Society, vol. 94, no. 2, pp. 462–478, 2016, doi: 10.1112/jlms/jdw042.' mla: Bañuelos, Rodrigo, et al. “Hardy–Stein Identities and Square Functions for Semigroups.” Journal of the London Mathematical Society, vol. 94, no. 2, Wiley, 2016, pp. 462–78, doi:10.1112/jlms/jdw042. short: R. Bañuelos, K. Bogdan, T. Luks, Journal of the London Mathematical Society 94 (2016) 462–478. date_created: 2023-01-25T15:43:14Z date_updated: 2023-01-26T17:20:19Z department: - _id: '555' doi: 10.1112/jlms/jdw042 extern: '1' intvolume: ' 94' issue: '2' keyword: - General Mathematics language: - iso: eng page: 462-478 publication: Journal of the London Mathematical Society publication_identifier: issn: - 0024-6107 - 1469-7750 publication_status: published publisher: Wiley status: public title: Hardy–Stein identities and square functions for semigroups type: journal_article user_id: '58312' volume: 94 year: '2016' ... --- _id: '31291' abstract: - lang: eng text: We consider a simple model of an open partially expanding map. Its trapped set

${\mathcal{K}}$

in phase space is a fractal set. We first show that there is a well-defined discrete spectrum of Ruelle resonances which describes the asymptotic of correlation functions for large time and which is parametrized by the Fourier component

$\unicode[STIX]{x1D708}$

in the neutral direction of the dynamics. We introduce a specific hypothesis on the dynamics that we call ‘minimal captivity’. This hypothesis is stable under perturbations and means that the dynamics is univalued in a neighborhood of

${\mathcal{K}}$

. Under this hypothesis we show the existence of an asymptotic spectral gap and a fractal Weyl law for the upper bound of density of Ruelle resonances in the semiclassical limit

$\unicode[STIX]{x1D708}\rightarrow \infty$

. Some numerical computations with the truncated Gauss map and Bowen–Series maps illustrate these results. author: - first_name: JEAN FRANCOIS full_name: ARNOLDI, JEAN FRANCOIS last_name: ARNOLDI - first_name: FRÉDÉRIC full_name: FAURE, FRÉDÉRIC last_name: FAURE - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: ARNOLDI JF, FAURE F, Weich T. Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. Ergodic Theory and Dynamical Systems. 2015;37(1):1-58. doi:10.1017/etds.2015.34 apa: ARNOLDI, J. F., FAURE, F., & Weich, T. (2015). Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. Ergodic Theory and Dynamical Systems, 37(1), 1–58. https://doi.org/10.1017/etds.2015.34 bibtex: '@article{ARNOLDI_FAURE_Weich_2015, title={Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps}, volume={37}, DOI={10.1017/etds.2015.34}, number={1}, journal={Ergodic Theory and Dynamical Systems}, publisher={Cambridge University Press (CUP)}, author={ARNOLDI, JEAN FRANCOIS and FAURE, FRÉDÉRIC and Weich, Tobias}, year={2015}, pages={1–58} }' chicago: 'ARNOLDI, JEAN FRANCOIS, FRÉDÉRIC FAURE, and Tobias Weich. “Asymptotic Spectral Gap and Weyl Law for Ruelle Resonances of Open Partially Expanding Maps.” Ergodic Theory and Dynamical Systems 37, no. 1 (2015): 1–58. https://doi.org/10.1017/etds.2015.34.' ieee: 'J. F. ARNOLDI, F. FAURE, and T. Weich, “Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps,” Ergodic Theory and Dynamical Systems, vol. 37, no. 1, pp. 1–58, 2015, doi: 10.1017/etds.2015.34.' mla: ARNOLDI, JEAN FRANCOIS, et al. “Asymptotic Spectral Gap and Weyl Law for Ruelle Resonances of Open Partially Expanding Maps.” Ergodic Theory and Dynamical Systems, vol. 37, no. 1, Cambridge University Press (CUP), 2015, pp. 1–58, doi:10.1017/etds.2015.34. short: J.F. ARNOLDI, F. FAURE, T. Weich, Ergodic Theory and Dynamical Systems 37 (2015) 1–58. date_created: 2022-05-17T12:55:26Z date_updated: 2022-05-19T10:15:54Z department: - _id: '10' - _id: '623' - _id: '548' doi: 10.1017/etds.2015.34 external_id: arxiv: - '1302.3087' intvolume: ' 37' issue: '1' keyword: - Applied Mathematics - General Mathematics language: - iso: eng page: 1-58 publication: Ergodic Theory and Dynamical Systems publication_identifier: issn: - 0143-3857 - 1469-4417 publication_status: published publisher: Cambridge University Press (CUP) status: public title: Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps type: journal_article user_id: '49178' volume: 37 year: '2015' ... --- _id: '53185' article_type: original author: - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski citation: ama: Januszewski F. On p-adic L-functions for GL(n) × GL (n-1) over totally real fields. International Mathematics Research Notices. 2014;2015(17):7884-7949. doi:10.1093/imrn/rnu181 apa: Januszewski, F. (2014). On p-adic L-functions for GL(n) × GL (n-1) over totally real fields. International Mathematics Research Notices, 2015(17), 7884–7949. https://doi.org/10.1093/imrn/rnu181 bibtex: '@article{Januszewski_2014, title={On p-adic L-functions for GL(n) × GL (n-1) over totally real fields}, volume={2015}, DOI={10.1093/imrn/rnu181}, number={17}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Januszewski, Fabian}, year={2014}, pages={7884–7949} }' chicago: 'Januszewski, Fabian. “On P-Adic L-Functions for GL(n) × GL (n-1) over Totally Real Fields.” International Mathematics Research Notices 2015, no. 17 (2014): 7884–7949. https://doi.org/10.1093/imrn/rnu181.' ieee: 'F. Januszewski, “On p-adic L-functions for GL(n) × GL (n-1) over totally real fields,” International Mathematics Research Notices, vol. 2015, no. 17, pp. 7884–7949, 2014, doi: 10.1093/imrn/rnu181.' mla: Januszewski, Fabian. “On P-Adic L-Functions for GL(n) × GL (n-1) over Totally Real Fields.” International Mathematics Research Notices, vol. 2015, no. 17, Oxford University Press (OUP), 2014, pp. 7884–949, doi:10.1093/imrn/rnu181. short: F. Januszewski, International Mathematics Research Notices 2015 (2014) 7884–7949. date_created: 2024-04-03T16:48:18Z date_updated: 2024-04-03T17:12:38Z doi: 10.1093/imrn/rnu181 extern: '1' intvolume: ' 2015' issue: '17' keyword: - General Mathematics language: - iso: eng page: 7884-7949 publication: International Mathematics Research Notices publication_identifier: issn: - 1073-7928 - 1687-0247 publication_status: published publisher: Oxford University Press (OUP) status: public title: On p-adic L-functions for GL(n) × GL (n-1) over totally real fields type: journal_article user_id: '81636' volume: 2015 year: '2014' ... --- _id: '37667' author: - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler - first_name: Heiko full_name: Remling, Heiko last_name: Remling citation: ama: Rösler M, Remling H. Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians. Journal of Approximation Theory. 2014;197:30-48. doi:10.1016/j.jat.2014.07.005 apa: Rösler, M., & Remling, H. (2014). Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians. Journal of Approximation Theory, 197, 30–48. https://doi.org/10.1016/j.jat.2014.07.005 bibtex: '@article{Rösler_Remling_2014, title={Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians}, volume={197}, DOI={10.1016/j.jat.2014.07.005}, journal={Journal of Approximation Theory}, publisher={Elsevier BV}, author={Rösler, Margit and Remling, Heiko}, year={2014}, pages={30–48} }' chicago: 'Rösler, Margit, and Heiko Remling. “Convolution Algebras for Heckman–Opdam Polynomials Derived from Compact Grassmannians.” Journal of Approximation Theory 197 (2014): 30–48. https://doi.org/10.1016/j.jat.2014.07.005.' ieee: 'M. Rösler and H. Remling, “Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians,” Journal of Approximation Theory, vol. 197, pp. 30–48, 2014, doi: 10.1016/j.jat.2014.07.005.' mla: Rösler, Margit, and Heiko Remling. “Convolution Algebras for Heckman–Opdam Polynomials Derived from Compact Grassmannians.” Journal of Approximation Theory, vol. 197, Elsevier BV, 2014, pp. 30–48, doi:10.1016/j.jat.2014.07.005. short: M. Rösler, H. Remling, Journal of Approximation Theory 197 (2014) 30–48. date_created: 2023-01-20T09:30:22Z date_updated: 2023-01-24T22:15:33Z department: - _id: '555' doi: 10.1016/j.jat.2014.07.005 intvolume: ' 197' keyword: - Applied Mathematics - General Mathematics - Numerical Analysis - Analysis language: - iso: eng page: 30-48 publication: Journal of Approximation Theory publication_identifier: issn: - 0021-9045 publication_status: published publisher: Elsevier BV status: public title: Convolution algebras for Heckman–Opdam polynomials derived from compact Grassmannians type: journal_article user_id: '93826' volume: 197 year: '2014' ... --- _id: '34845' abstract: - lang: eng 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 HLMS Journal of Computation and Mathematics. 2014;17(1):141-158. doi:10.1112/s1461157013000302 apa: Fieker, C., & Klüners, J. (2014). Computation of Galois groups of rational polynomials. LMS Journal of Computation and Mathematics, 17(1), 141–158. https://doi.org/10.1112/s1461157013000302 bibtex: '@article{Fieker_Klüners_2014, title={Computation of Galois groups of rational polynomials}, volume={17}, DOI={10.1112/s1461157013000302}, number={1}, journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Fieker, Claus and Klüners, Jürgen}, year={2014}, pages={141–158} }' chicago: 'Fieker, Claus, and Jürgen Klüners. “Computation of Galois Groups of Rational Polynomials.” LMS Journal of Computation and Mathematics 17, no. 1 (2014): 141–58. https://doi.org/10.1112/s1461157013000302.' ieee: 'C. Fieker and J. Klüners, “Computation of Galois groups of rational polynomials,” LMS Journal of Computation and Mathematics, vol. 17, no. 1, pp. 141–158, 2014, doi: 10.1112/s1461157013000302.' mla: Fieker, Claus, and Jürgen Klüners. “Computation of Galois Groups of Rational Polynomials.” LMS Journal of Computation and Mathematics, vol. 17, no. 1, Wiley, 2014, pp. 141–58, doi:10.1112/s1461157013000302. short: C. Fieker, J. Klüners, LMS Journal of Computation and Mathematics 17 (2014) 141–158. date_created: 2022-12-22T10:53:44Z date_updated: 2023-03-06T09:43:56Z department: - _id: '102' doi: 10.1112/s1461157013000302 external_id: arxiv: - '1211.3588' intvolume: ' 17' issue: '1' keyword: - Computational Theory and Mathematics - General Mathematics language: - iso: eng page: 141-158 publication: LMS Journal of Computation and Mathematics publication_identifier: issn: - 1461-1570 publication_status: published publisher: Wiley status: public title: Computation of Galois groups of rational polynomials type: journal_article user_id: '93826' volume: 17 year: '2014' ... --- _id: '42801' abstract: - lang: eng 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. author: - first_name: Markus full_name: Kirschmer, Markus id: '82258' last_name: Kirschmer - first_name: CHARLES full_name: LEEDHAM-GREEN, CHARLES last_name: LEEDHAM-GREEN citation: ama: Kirschmer M, LEEDHAM-GREEN C. Computing with subgroups of the modular group . Glasgow Mathematical Journal. 2014;57(1):173-180. doi:10.1017/s0017089514000202 apa: Kirschmer, M., & LEEDHAM-GREEN, C. (2014). Computing with subgroups of the modular group . Glasgow Mathematical Journal, 57(1), 173–180. https://doi.org/10.1017/s0017089514000202 bibtex: '@article{Kirschmer_LEEDHAM-GREEN_2014, title={Computing with subgroups of the modular group }, volume={57}, DOI={10.1017/s0017089514000202}, number={1}, journal={Glasgow Mathematical Journal}, publisher={Cambridge University Press (CUP)}, author={Kirschmer, Markus and LEEDHAM-GREEN, CHARLES}, year={2014}, pages={173–180} }' chicago: 'Kirschmer, Markus, and CHARLES LEEDHAM-GREEN. “Computing with Subgroups of the Modular Group .” Glasgow Mathematical Journal 57, no. 1 (2014): 173–80. https://doi.org/10.1017/s0017089514000202.' ieee: 'M. Kirschmer and C. LEEDHAM-GREEN, “Computing with subgroups of the modular group ,” Glasgow Mathematical Journal, vol. 57, no. 1, pp. 173–180, 2014, doi: 10.1017/s0017089514000202.' mla: Kirschmer, Markus, and CHARLES LEEDHAM-GREEN. “Computing with Subgroups of the Modular Group .” Glasgow Mathematical Journal, vol. 57, no. 1, Cambridge University Press (CUP), 2014, pp. 173–80, doi:10.1017/s0017089514000202. short: M. Kirschmer, C. LEEDHAM-GREEN, Glasgow Mathematical Journal 57 (2014) 173–180. date_created: 2023-03-07T08:47:42Z date_updated: 2023-04-04T07:55:16Z department: - _id: '102' doi: 10.1017/s0017089514000202 extern: '1' intvolume: ' 57' issue: '1' keyword: - General Mathematics language: - iso: eng page: 173-180 publication: Glasgow Mathematical Journal publication_identifier: issn: - 0017-0895 - 1469-509X publication_status: published publisher: Cambridge University Press (CUP) status: public title: 'Computing with subgroups of the modular group ' type: journal_article user_id: '93826' volume: 57 year: '2014' ... --- _id: '42794' abstract: - lang: eng 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. author: - first_name: B. full_name: Eick, B. last_name: Eick - first_name: Markus full_name: Kirschmer, Markus id: '82258' last_name: Kirschmer - first_name: C. full_name: Leedham-Green, C. last_name: Leedham-Green citation: ama: Eick B, Kirschmer M, Leedham-Green C. The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R). LMS Journal of Computation and Mathematics. 2014;17(1):345-359. doi:10.1112/s1461157014000047 apa: Eick, B., Kirschmer, M., & Leedham-Green, C. (2014). The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R). LMS Journal of Computation and Mathematics, 17(1), 345–359. https://doi.org/10.1112/s1461157014000047 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={10.1112/s1461157014000047}, 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} }' chicago: 'Eick, B., Markus Kirschmer, and C. Leedham-Green. “The Constructive Membership Problem for Discrete Free Subgroups of Rank 2 of SL₂(R).” LMS Journal of Computation and Mathematics 17, no. 1 (2014): 345–59. https://doi.org/10.1112/s1461157014000047.' ieee: 'B. Eick, M. Kirschmer, and C. Leedham-Green, “The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R),” LMS Journal of Computation and Mathematics, vol. 17, no. 1, pp. 345–359, 2014, doi: 10.1112/s1461157014000047.' mla: Eick, B., et al. “The Constructive Membership Problem for Discrete Free Subgroups of Rank 2 of SL₂(R).” LMS Journal of Computation and Mathematics, vol. 17, no. 1, Wiley, 2014, pp. 345–59, doi:10.1112/s1461157014000047. short: B. Eick, M. Kirschmer, C. Leedham-Green, LMS Journal of Computation and Mathematics 17 (2014) 345–359. date_created: 2023-03-07T08:30:15Z date_updated: 2023-04-04T09:31:17Z department: - _id: '102' doi: 10.1112/s1461157014000047 extern: '1' intvolume: ' 17' issue: '1' keyword: - Computational Theory and Mathematics - General Mathematics language: - iso: eng page: 345-359 publication: LMS Journal of Computation and Mathematics publication_identifier: issn: - 1461-1570 publication_status: published publisher: Wiley status: public title: The constructive membership problem for discrete free subgroups of rank 2 of SL₂(R) type: journal_article user_id: '93826' volume: 17 year: '2014' ... --- _id: '53419' author: - first_name: Fabian full_name: Gundlach, Fabian id: '100450' last_name: Gundlach citation: ama: Gundlach F. Integral Brauer-Manin obstructions for sums of two squares and a power. Journal of the London Mathematical Society. 2013;88(2):599-618. doi:10.1112/jlms/jdt042 apa: Gundlach, F. (2013). Integral Brauer-Manin obstructions for sums of two squares and a power. Journal of the London Mathematical Society, 88(2), 599–618. https://doi.org/10.1112/jlms/jdt042 bibtex: '@article{Gundlach_2013, title={Integral Brauer-Manin obstructions for sums of two squares and a power}, volume={88}, DOI={10.1112/jlms/jdt042}, number={2}, journal={Journal of the London Mathematical Society}, publisher={Wiley}, author={Gundlach, Fabian}, year={2013}, pages={599–618} }' chicago: 'Gundlach, Fabian. “Integral Brauer-Manin Obstructions for Sums of Two Squares and a Power.” Journal of the London Mathematical Society 88, no. 2 (2013): 599–618. https://doi.org/10.1112/jlms/jdt042.' ieee: 'F. Gundlach, “Integral Brauer-Manin obstructions for sums of two squares and a power,” Journal of the London Mathematical Society, vol. 88, no. 2, pp. 599–618, 2013, doi: 10.1112/jlms/jdt042.' mla: Gundlach, Fabian. “Integral Brauer-Manin Obstructions for Sums of Two Squares and a Power.” Journal of the London Mathematical Society, vol. 88, no. 2, Wiley, 2013, pp. 599–618, doi:10.1112/jlms/jdt042. short: F. Gundlach, Journal of the London Mathematical Society 88 (2013) 599–618. date_created: 2024-04-11T12:41:31Z date_updated: 2024-04-11T12:50:38Z doi: 10.1112/jlms/jdt042 extern: '1' intvolume: ' 88' issue: '2' keyword: - General Mathematics language: - iso: eng page: 599-618 publication: Journal of the London Mathematical Society publication_identifier: issn: - 0024-6107 publication_status: published publisher: Wiley status: public title: Integral Brauer-Manin obstructions for sums of two squares and a power type: journal_article user_id: '100450' volume: 88 year: '2013' ...