[{"language":[{"iso":"eng"}],"date_updated":"2023-03-06T08:47:42Z","doi":"10.1090/proc/15882","department":[{"_id":"102"}],"publication_identifier":{"issn":["0002-9939","1088-6826"]},"publication_status":"published","external_id":{"arxiv":["2003.12161 "]},"title":"ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group","type":"journal_article","citation":{"bibtex":"@article{Klüners_Wang_2022, title={ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group}, volume={150}, DOI={10.1090/proc/15882}, number={7}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Klüners, Jürgen and Wang, Jiuya}, year={2022}, pages={2793–2805} }","mla":"Klüners, Jürgen, and Jiuya Wang. “ℓ-Torsion Bounds for the Class Group of Number Fields with an ℓ-Group as Galois Group.” Proceedings of the American Mathematical Society, vol. 150, no. 7, American Mathematical Society (AMS), 2022, pp. 2793–805, doi:10.1090/proc/15882.","chicago":"Klüners, Jürgen, and Jiuya Wang. “ℓ-Torsion Bounds for the Class Group of Number Fields with an ℓ-Group as Galois Group.” Proceedings of the American Mathematical Society 150, no. 7 (2022): 2793–2805. https://doi.org/10.1090/proc/15882.","ama":"Klüners J, Wang J. ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group. Proceedings of the American Mathematical Society. 2022;150(7):2793-2805. doi:10.1090/proc/15882","apa":"Klüners, J., & Wang, J. (2022). ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group. Proceedings of the American Mathematical Society, 150(7), 2793–2805. https://doi.org/10.1090/proc/15882","ieee":"J. Klüners and J. Wang, “ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group,” Proceedings of the American Mathematical Society, vol. 150, no. 7, pp. 2793–2805, 2022, doi: 10.1090/proc/15882.","short":"J. Klüners, J. Wang, Proceedings of the American Mathematical Society 150 (2022) 2793–2805."},"year":"2022","page":"2793-2805","_id":"34839","intvolume":" 150","issue":"7","publisher":"American Mathematical Society (AMS)","author":[{"id":"21202","last_name":"Klüners","full_name":"Klüners, Jürgen","first_name":"Jürgen"},{"last_name":"Wang","first_name":"Jiuya","full_name":"Wang, Jiuya"}],"keyword":["Applied Mathematics","General Mathematics"],"publication":"Proceedings of the American Mathematical Society","volume":150,"status":"public","date_created":"2022-12-22T10:47:01Z","abstract":[{"lang":"eng","text":"We describe the relations among the ℓ-torsion conjecture, a conjecture of Malle giving an upper bound for the number of extensions, and the discriminant multiplicity conjecture. We prove that the latter two conjectures are equivalent in some sense. Altogether, the three conjectures are equivalent for the class of solvable groups. We then prove the ℓ-torsion conjecture for ℓ-groups and the other two conjectures for nilpotent groups."}],"user_id":"93826"},{"language":[{"iso":"eng"}],"doi":"10.1090/proc/15312","date_updated":"2023-01-24T22:16:16Z","publication_identifier":{"issn":["0002-9939","1088-6826"]},"publication_status":"published","department":[{"_id":"555"}],"title":"Positive intertwiners for Bessel functions of type B","page":"1151-1163","citation":{"short":"M. Rösler, M. Voit, Proceedings of the American Mathematical Society 149 (2021) 1151–1163.","ieee":"M. Rösler and M. Voit, “Positive intertwiners for Bessel functions of type B,” Proceedings of the American Mathematical Society, vol. 149, no. 3, pp. 1151–1163, 2021, doi: 10.1090/proc/15312.","chicago":"Rösler, Margit, and Michael Voit. “Positive Intertwiners for Bessel Functions of Type B.” Proceedings of the American Mathematical Society 149, no. 3 (2021): 1151–63. https://doi.org/10.1090/proc/15312.","apa":"Rösler, M., & Voit, M. (2021). Positive intertwiners for Bessel functions of type B. Proceedings of the American Mathematical Society, 149(3), 1151–1163. https://doi.org/10.1090/proc/15312","ama":"Rösler M, Voit M. Positive intertwiners for Bessel functions of type B. Proceedings of the American Mathematical Society. 2021;149(3):1151-1163. doi:10.1090/proc/15312","bibtex":"@article{Rösler_Voit_2021, title={Positive intertwiners for Bessel functions of type B}, volume={149}, DOI={10.1090/proc/15312}, number={3}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Rösler, Margit and Voit, Michael}, year={2021}, pages={1151–1163} }","mla":"Rösler, Margit, and Michael Voit. “Positive Intertwiners for Bessel Functions of Type B.” Proceedings of the American Mathematical Society, vol. 149, no. 3, American Mathematical Society (AMS), 2021, pp. 1151–63, doi:10.1090/proc/15312."},"year":"2021","type":"journal_article","issue":"3","_id":"37659","intvolume":" 149","volume":149,"date_created":"2023-01-20T09:22:12Z","status":"public","keyword":["Applied Mathematics","General Mathematics"],"publication":"Proceedings of the American Mathematical Society","author":[{"id":"37390","last_name":"Rösler","full_name":"Rösler, Margit","first_name":"Margit"},{"last_name":"Voit","first_name":"Michael","full_name":"Voit, Michael"}],"publisher":"American Mathematical Society (AMS)","user_id":"37390"}]