\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.
"}],"status":"public"},{"doi":"10.1090/proc/16867","title":"Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor","date_created":"2025-12-18T19:07:03Z","author":[{"last_name":"Tao","full_name":"Tao, Youshan","first_name":"Youshan"},{"first_name":"Michael","id":"31496","full_name":"Winkler, Michael","last_name":"Winkler"}],"volume":152,"date_updated":"2025-12-18T20:14:30Z","publisher":"American Mathematical Society (AMS)","citation":{"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.","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.","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} }","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.","short":"Y. Tao, M. Winkler, Proceedings of the American Mathematical Society 152 (2024) 4325–4341.","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"},"intvolume":" 152","page":"4325-4341","year":"2024","issue":"10","publication_status":"published","publication_identifier":{"issn":["0002-9939","1088-6826"]},"language":[{"iso":"eng"}],"user_id":"31496","_id":"63258","status":"public","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.
"}],"type":"journal_article","publication":"Proceedings of the American Mathematical Society"},{"publication":"Proceedings of the American Mathematical Society","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."}],"external_id":{"arxiv":["2003.12161 "]},"keyword":["Applied Mathematics","General Mathematics"],"language":[{"iso":"eng"}],"issue":"7","year":"2022","publisher":"American Mathematical Society (AMS)","date_created":"2022-12-22T10:47:01Z","title":"ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group","type":"journal_article","status":"public","_id":"34839","user_id":"93826","department":[{"_id":"102"}],"publication_status":"published","publication_identifier":{"issn":["0002-9939","1088-6826"]},"citation":{"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.","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.","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","short":"J. Klüners, J. Wang, Proceedings of the American Mathematical Society 150 (2022) 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.","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} }","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"},"intvolume":" 150","page":"2793-2805","date_updated":"2023-03-06T08:47:42Z","author":[{"first_name":"Jürgen","last_name":"Klüners","full_name":"Klüners, Jürgen","id":"21202"},{"last_name":"Wang","full_name":"Wang, Jiuya","first_name":"Jiuya"}],"volume":150,"doi":"10.1090/proc/15882"},{"year":"2021","page":"1151-1163","intvolume":" 149","citation":{"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","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","short":"M. Rösler, M. Voit, Proceedings of the American Mathematical Society 149 (2021) 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.","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} }"},"publication_identifier":{"issn":["0002-9939","1088-6826"]},"publication_status":"published","issue":"3","title":"Positive intertwiners for Bessel functions of type B","doi":"10.1090/proc/15312","date_updated":"2023-01-24T22:16:16Z","publisher":"American Mathematical Society (AMS)","volume":149,"date_created":"2023-01-20T09:22:12Z","author":[{"first_name":"Margit","id":"37390","full_name":"Rösler, Margit","last_name":"Rösler"},{"last_name":"Voit","full_name":"Voit, Michael","first_name":"Michael"}],"status":"public","publication":"Proceedings of the American Mathematical Society","type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"language":[{"iso":"eng"}],"_id":"37659","department":[{"_id":"555"}],"user_id":"37390"},{"extern":"1","language":[{"iso":"eng"}],"_id":"40666","user_id":"37390","department":[{"_id":"555"}],"status":"public","type":"journal_article","publication":"Proceedings of the American Mathematical Society","title":"An uncertainty principle for Hankel transforms","date_updated":"2025-08-09T09:24:57Z","publisher":"American Mathematical Society (AMS)","author":[{"full_name":"Rösler, Margit","id":"37390","last_name":"Rösler","first_name":"Margit"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"date_created":"2023-01-30T11:20:49Z","volume":127,"year":"1999","citation":{"apa":"Rösler, M., & Voit, M. (1999). An uncertainty principle for Hankel transforms. Proceedings of the American Mathematical Society, 127(1), 183–194.","mla":"Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Hankel Transforms.” Proceedings of the American Mathematical Society, vol. 127, no. 1, American Mathematical Society (AMS), 1999, pp. 183–194.","short":"M. Rösler, M. Voit, Proceedings of the American Mathematical Society 127 (1999) 183–194.","bibtex":"@article{Rösler_Voit_1999, title={An uncertainty principle for Hankel transforms}, volume={127}, number={1}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Rösler, Margit and Voit, Michael}, year={1999}, pages={183–194} }","chicago":"Rösler, Margit, and Michael Voit. “An Uncertainty Principle for Hankel Transforms.” Proceedings of the American Mathematical Society 127, no. 1 (1999): 183–194.","ieee":"M. Rösler and M. Voit, “An uncertainty principle for Hankel transforms,” Proceedings of the American Mathematical Society, vol. 127, no. 1, pp. 183–194, 1999.","ama":"Rösler M, Voit M. An uncertainty principle for Hankel transforms. Proceedings of the American Mathematical Society. 1999;127(1):183–194."},"intvolume":" 127","page":"183–194","publication_status":"published","publication_identifier":{"issn":["0002-9939","1088-6826"]},"issue":"1"}]