\r\n Let\r\n
This is in contrast with the generating functions for the ordinary conductor (from class field theory) and the discriminant, which in general have no meromorphic continuation to the entire complex plane.
","lang":"eng"}],"publisher":"American Mathematical Society (AMS)","_id":"64181","language":[{"iso":"eng"}],"doi":"10.1090/proc/17440","user_id":"100450","year":"2025","status":"public","title":"Counting abelian extensions by Artin–Schreier conductor","author":[{"id":"100450","full_name":"Gundlach, Fabian","first_name":"Fabian","last_name":"Gundlach"}],"publication_identifier":{"issn":["1088-6826","0002-9939"]},"date_updated":"2026-02-16T13:01:13Z","publication_status":"published"},{"date_created":"2025-12-18T19:07:03Z","type":"journal_article","issue":"10","publication":"Proceedings of the American Mathematical Society","abstract":[{"lang":"eng","text":"This manuscript studies a no-flux initial-boundary value problem for a four-component chemotaxis system that has been proposed as a model for the response of cytotoxic T-lymphocytes to a solid tumor. In contrast to classical Keller-Segel type situations focusing on two-component interplay of chemotaxing populations with a signal directly secreted by themselves, the presently considered system accounts for a certain indirect mechanism of attractant evolution. Despite the presence of a zero-order exciting nonlinearity of quadratic type that forms a core mathematical feature of the model, the manuscript asserts the global existence of classical solutions for initial data of arbitrary size in three-dimensional domains.
"}],"language":[{"iso":"eng"}],"doi":"10.1090/proc/16867","author":[{"full_name":"Tao, Youshan","last_name":"Tao","first_name":"Youshan"},{"id":"31496","full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"publication_identifier":{"issn":["0002-9939","1088-6826"]},"title":"Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor","year":"2024","intvolume":" 152","publication_status":"published","date_updated":"2025-12-18T20:14:30Z","citation":{"apa":"Tao, Y., & Winkler, M. (2024). Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor. Proceedings of the American Mathematical Society, 152(10), 4325–4341. https://doi.org/10.1090/proc/16867","ieee":"Y. Tao and M. Winkler, “Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor,” Proceedings of the American Mathematical Society, vol. 152, no. 10, pp. 4325–4341, 2024, doi: 10.1090/proc/16867.","chicago":"Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Chemotaxis System Modeling Immune Response to a Solid Tumor.” Proceedings of the American Mathematical Society 152, no. 10 (2024): 4325–41. https://doi.org/10.1090/proc/16867.","short":"Y. Tao, M. Winkler, Proceedings of the American Mathematical Society 152 (2024) 4325–4341.","mla":"Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Chemotaxis System Modeling Immune Response to a Solid Tumor.” Proceedings of the American Mathematical Society, vol. 152, no. 10, American Mathematical Society (AMS), 2024, pp. 4325–41, doi:10.1090/proc/16867.","ama":"Tao Y, Winkler M. Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor. Proceedings of the American Mathematical Society. 2024;152(10):4325-4341. doi:10.1090/proc/16867","bibtex":"@article{Tao_Winkler_2024, title={Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor}, volume={152}, DOI={10.1090/proc/16867}, number={10}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Tao, Youshan and Winkler, Michael}, year={2024}, pages={4325–4341} }"},"_id":"63258","publisher":"American Mathematical Society (AMS)","page":"4325-4341","volume":152,"user_id":"31496","status":"public"},{"external_id":{"arxiv":["2003.12161 "]},"citation":{"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.","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.","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.","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","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} }"},"user_id":"93826","volume":150,"page":"2793-2805","publisher":"American Mathematical Society (AMS)","_id":"34839","status":"public","type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"department":[{"_id":"102"}],"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."}],"publication":"Proceedings of the American Mathematical Society","issue":"7","doi":"10.1090/proc/15882","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-03-06T08:47:42Z","intvolume":" 150","year":"2022","title":"ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group","publication_identifier":{"issn":["0002-9939","1088-6826"]},"author":[{"last_name":"Klüners","first_name":"Jürgen","full_name":"Klüners, Jürgen","id":"21202"},{"last_name":"Wang","first_name":"Jiuya","full_name":"Wang, Jiuya"}]},{"year":"2021","title":"Positive intertwiners for Bessel functions of type B","publication_identifier":{"issn":["0002-9939","1088-6826"]},"author":[{"full_name":"Rösler, Margit","first_name":"Margit","last_name":"Rösler","id":"37390"},{"full_name":"Voit, Michael","last_name":"Voit","first_name":"Michael"}],"publication_status":"published","date_updated":"2023-01-24T22:16:16Z","intvolume":" 149","language":[{"iso":"eng"}],"doi":"10.1090/proc/15312","issue":"3","publication":"Proceedings of the American Mathematical Society","date_created":"2023-01-20T09:22:12Z","keyword":["Applied Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"555"}],"status":"public","page":"1151-1163","_id":"37659","publisher":"American Mathematical Society (AMS)","user_id":"37390","volume":149,"citation":{"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} }","ama":"Rösler M, Voit M. 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