--- _id: '60474' author: - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski orcid: 0000-0002-3184-237X citation: ama: Januszewski F. Rational structures on quivers and a generalization of Gelfand’s equivalence. arXiv:250623251. Published online 2025. apa: Januszewski, F. (2025). Rational structures on quivers and a generalization of Gelfand’s equivalence. In arXiv:2506.23251. bibtex: '@article{Januszewski_2025, title={Rational structures on quivers and a generalization of Gelfand’s equivalence}, journal={arXiv:2506.23251}, author={Januszewski, Fabian}, year={2025} }' chicago: Januszewski, Fabian. “Rational Structures on Quivers and a Generalization of Gelfand’s Equivalence.” ArXiv:2506.23251, 2025. ieee: F. Januszewski, “Rational structures on quivers and a generalization of Gelfand’s equivalence,” arXiv:2506.23251. 2025. mla: Januszewski, Fabian. “Rational Structures on Quivers and a Generalization of Gelfand’s Equivalence.” ArXiv:2506.23251, 2025. short: F. Januszewski, ArXiv:2506.23251 (2025). date_created: 2025-07-01T06:09:53Z date_updated: 2025-07-01T06:10:03Z language: - iso: eng page: '38' publication: arXiv:2506.23251 related_material: link: - relation: confirmation url: https://arxiv.org/abs/2506.23251 status: public title: Rational structures on quivers and a generalization of Gelfand's equivalence type: preprint user_id: '81636' year: '2025' ... --- _id: '53194' author: - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski citation: ama: 'Januszewski F. Families of D-modules and integral models of (g, K)-modules. In: Dobrev V, ed. Proceedings of the 15-Th International Workshop “Lie Theory and Its Applications in Physics” (LT-15), (19-25 June 2023, Varna, Bulgaria). Springer Proceedings in Mathematics & Statistics. Springer; :10.' apa: Januszewski, F. (n.d.). Families of D-modules and integral models of (g, K)-modules. In V. Dobrev (Ed.), Proceedings of the 15-th International Workshop “Lie Theory and Its Applications in Physics” (LT-15), (19-25 June 2023, Varna, Bulgaria) (p. 10). Springer. bibtex: '@inproceedings{Januszewski, series={Springer Proceedings in Mathematics & Statistics}, title={Families of D-modules and integral models of (g, K)-modules}, booktitle={Proceedings of the 15-th International Workshop “Lie Theory and Its Applications in Physics” (LT-15), (19-25 June 2023, Varna, Bulgaria)}, publisher={Springer}, author={Januszewski, Fabian}, editor={Dobrev, Vladimir}, pages={10}, collection={Springer Proceedings in Mathematics & Statistics} }' chicago: Januszewski, Fabian. “Families of D-Modules and Integral Models of (g, K)-Modules.” In Proceedings of the 15-Th International Workshop “Lie Theory and Its Applications in Physics” (LT-15), (19-25 June 2023, Varna, Bulgaria), edited by Vladimir Dobrev, 10. Springer Proceedings in Mathematics & Statistics. Springer, n.d. ieee: F. Januszewski, “Families of D-modules and integral models of (g, K)-modules,” in Proceedings of the 15-th International Workshop “Lie Theory and Its Applications in Physics” (LT-15), (19-25 June 2023, Varna, Bulgaria), p. 10. mla: Januszewski, Fabian. “Families of D-Modules and Integral Models of (g, K)-Modules.” Proceedings of the 15-Th International Workshop “Lie Theory and Its Applications in Physics” (LT-15), (19-25 June 2023, Varna, Bulgaria), edited by Vladimir Dobrev, Springer, p. 10. short: 'F. Januszewski, in: V. Dobrev (Ed.), Proceedings of the 15-Th International Workshop “Lie Theory and Its Applications in Physics” (LT-15), (19-25 June 2023, Varna, Bulgaria), Springer, n.d., p. 10.' date_created: 2024-04-03T17:09:50Z date_updated: 2024-04-03T17:12:31Z editor: - first_name: Vladimir full_name: Dobrev, Vladimir last_name: Dobrev language: - iso: eng page: '10' publication: Proceedings of the 15-th International Workshop "Lie Theory and Its Applications in Physics" (LT-15), (19-25 June 2023, Varna, Bulgaria) publication_identifier: issn: - 2194-1009 publication_status: inpress publisher: Springer series_title: Springer Proceedings in Mathematics & Statistics status: public title: Families of D-modules and integral models of (g, K)-modules type: conference user_id: '81636' year: '2024' ... --- _id: '53190' abstract: - lang: eng text: "We prove new congruences between special values of Rankin-Selberg\r\n$L$-functions for $\\mathrm{GL}(n+1)\\times\\mathrm{GL}(n)$ over arbitrary number\r\nfields. This allows us to control the behavior of $p$-adic $L$-functions under\r\nTate twists and to prove the existence of non-abelian $p$-adic $L$-functions\r\nfor Hida families on $\\mathrm{GL}(n+1)\\times\\mathrm{GL}(n)$. As an application,\r\nwe prove strong non-vanishing results for central $L$-values: We give\r\nsufficient local conditions for twisted central Rankin-Selberg $L$-values to be\r\ngenerically non-zero." 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. Non-abelian $p$-adic Rankin-Selberg $L$-functions and non-vanishing of central $L$-values. American Journal of Mathematics. 2024;146(2):495-578. apa: Januszewski, F. (2024). Non-abelian $p$-adic Rankin-Selberg $L$-functions and non-vanishing of central $L$-values. American Journal of Mathematics, 146(2), 495–578. bibtex: '@article{Januszewski_2024, title={Non-abelian $p$-adic Rankin-Selberg $L$-functions and non-vanishing of central $L$-values}, volume={146}, number={2}, journal={American Journal of Mathematics}, publisher={Johns Hopkins University, Johns Hopkins University Press}, author={Januszewski, Fabian}, year={2024}, pages={495–578} }' chicago: 'Januszewski, Fabian. “Non-Abelian $p$-Adic Rankin-Selberg $L$-Functions and Non-Vanishing of Central $L$-Values.” American Journal of Mathematics 146, no. 2 (2024): 495–578.' ieee: F. Januszewski, “Non-abelian $p$-adic Rankin-Selberg $L$-functions and non-vanishing of central $L$-values,” American Journal of Mathematics, vol. 146, no. 2, pp. 495–578, 2024. mla: Januszewski, Fabian. “Non-Abelian $p$-Adic Rankin-Selberg $L$-Functions and Non-Vanishing of Central $L$-Values.” American Journal of Mathematics, vol. 146, no. 2, Johns Hopkins University, Johns Hopkins University Press, 2024, pp. 495–578. short: F. Januszewski, American Journal of Mathematics 146 (2024) 495–578. date_created: 2024-04-03T16:55:16Z date_updated: 2024-10-22T14:43:13Z external_id: arxiv: - '1708.02616' intvolume: ' 146' issue: '2' language: - iso: eng page: 495-578 publication: American Journal of Mathematics publication_identifier: issn: - 0002-9327 publication_status: published publisher: Johns Hopkins University, Johns Hopkins University Press status: public title: Non-abelian $p$-adic Rankin-Selberg $L$-functions and non-vanishing of central $L$-values type: journal_article user_id: '81636' volume: 146 year: '2024' ... --- _id: '53197' abstract: - lang: eng text: This paper introduces the notion of locally algebraic representations and corresponding sheaves in the context of the cohomology of arithmetic groups. These representations are particularly relevant for studying integral structures and special values of cohomological automorphic representations, as well as corresponding period relations. We introduce and investigate related concepts such as locally algebraic $(\lieg,K)$-modules and cohomological types of automorphic representations. Applying the recently developed theory of tdos and twisted $\mathcal D$-modules, we establish the existence of canonical global $1/N$-integral structures on spaces of automorphic cusp forms. As an application, we define canonical periods attached to regular algebraic automorphic representations, potentially related to the action of Venkatesh's derived Hecke algebra on cuspidal cohomology. author: - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski orcid: 0000-0002-3184-237X citation: ama: Januszewski F. Locally algebraic representations and integral structures on the cohomology of arithmetic groups. arXiv:240403955. Published online 2024. apa: Januszewski, F. (2024). Locally algebraic representations and integral structures on the cohomology of arithmetic groups. In arXiv:2404.03955. bibtex: '@article{Januszewski_2024, title={Locally algebraic representations and integral structures on the cohomology of arithmetic groups}, journal={arXiv:2404.03955}, author={Januszewski, Fabian}, year={2024} }' chicago: Januszewski, Fabian. “Locally Algebraic Representations and Integral Structures on the Cohomology of Arithmetic Groups.” ArXiv:2404.03955, 2024. ieee: F. Januszewski, “Locally algebraic representations and integral structures on the cohomology of arithmetic groups,” arXiv:2404.03955. 2024. mla: Januszewski, Fabian. “Locally Algebraic Representations and Integral Structures on the Cohomology of Arithmetic Groups.” ArXiv:2404.03955, 2024. short: F. Januszewski, ArXiv:2404.03955 (2024). date_created: 2024-04-03T17:16:53Z date_updated: 2024-12-06T13:02:43Z language: - iso: eng page: '69' publication: arXiv:2404.03955 status: public title: Locally algebraic representations and integral structures on the cohomology of arithmetic groups type: preprint user_id: '81636' year: '2024' ... --- _id: '53195' abstract: - lang: eng text: "We develop a theory of tdos and twisted $\\mathcal D$-modules over general\r\nbases with an emphasis on functorial aspects. In particular, we establish a\r\nflat base change theorem as well as faithfully flat descent for twisted\r\n$\\mathcal D$-modules. We define (derived) inverse and direct images of twisted\r\n$\\mathcal D$-modules and investigate how these functors behave under base\r\nchange. We also discuss forms of closed $K$-orbits attached to $\\theta$-stable\r\nparabolic subgroups. These results imply the existence of models of\r\ncohomologically induced modules over general fields of characteristic 0 and\r\neven half-integer rings, whose study is motivated by potential applications to\r\nnumber theory in the literature." author: - first_name: Takuma full_name: Hayashi, Takuma last_name: Hayashi - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski citation: ama: Hayashi T, Januszewski F. Families of twisted D-modules and arithmetic models of Harish-Chandra modules. arXiv:180810709. Published online 2023. apa: Hayashi, T., & Januszewski, F. (2023). Families of twisted D-modules and arithmetic models of Harish-Chandra modules. In arXiv:1808.10709. bibtex: '@article{Hayashi_Januszewski_2023, title={Families of twisted D-modules and arithmetic models of Harish-Chandra modules}, journal={arXiv:1808.10709}, author={Hayashi, Takuma and Januszewski, Fabian}, year={2023} }' chicago: Hayashi, Takuma, and Fabian Januszewski. “Families of Twisted D-Modules and Arithmetic Models of Harish-Chandra Modules.” ArXiv:1808.10709, 2023. ieee: T. Hayashi and F. Januszewski, “Families of twisted D-modules and arithmetic models of Harish-Chandra modules,” arXiv:1808.10709. 2023. mla: Hayashi, Takuma, and Fabian Januszewski. “Families of Twisted D-Modules and Arithmetic Models of Harish-Chandra Modules.” ArXiv:1808.10709, 2023. short: T. Hayashi, F. Januszewski, ArXiv:1808.10709 (2023). date_created: 2024-04-03T17:10:19Z date_updated: 2024-04-03T17:11:07Z external_id: arxiv: - '1808.10709' language: - iso: eng page: '170' publication: arXiv:1808.10709 status: public title: Families of twisted D-modules and arithmetic models of Harish-Chandra modules type: preprint user_id: '81636' year: '2023' ... --- _id: '53192' abstract: - lang: eng text: The principal aim of this article is to attach and study

$p$

-adic

$L$

-functions to cohomological cuspidal automorphic representations

$\Pi$

$\operatorname {GL}_{2n}$

over a totally real field

$F$

admitting a Shalika model. We use a modular symbol approach, along the global lines of the work of Ash and Ginzburg, but our results are more definitive because we draw heavily upon the methods used in the recent and separate works of all three authors. By construction, our

$p$

-adic

$L$

-functions are distributions on the Galois group of the maximal abelian extension of

$F$

unramified outside

$p\infty$

. Moreover, we work under a weaker Panchishkine-type condition on

$\Pi _p$

rather than the full ordinariness condition. Finally, we prove the so-called Manin relations between the

$p$

-adic

$L$

-functions at all critical points. This has the striking consequence that, given a unitary

$\Pi$

whose standard

$L$

-function admits at least two critical points, and given a prime

$p$

such that

$\Pi _p$

is ordinary, the central critical value

$L(\frac {1}{2}, \Pi \otimes \chi )$

is non-zero for all except finitely many Dirichlet characters

$\chi$

$p$

-power conductor. article_type: original author: - first_name: Mladen full_name: Dimitrov, Mladen last_name: Dimitrov - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski - first_name: A. full_name: Raghuram, A. last_name: Raghuram citation: ama: 'Dimitrov M, Januszewski F, Raghuram A. L-functions of GL(2n): p-adic properties and non-vanishing of twists. Compositio Mathematica. 2021;156(12):2437-2468. doi:10.1112/s0010437x20007551' apa: 'Dimitrov, M., Januszewski, F., & Raghuram, A. (2021). L-functions of GL(2n): p-adic properties and non-vanishing of twists. Compositio Mathematica, 156(12), 2437–2468. https://doi.org/10.1112/s0010437x20007551' bibtex: '@article{Dimitrov_Januszewski_Raghuram_2021, title={L-functions of GL(2n): p-adic properties and non-vanishing of twists}, volume={156}, DOI={10.1112/s0010437x20007551}, number={12}, journal={Compositio Mathematica}, publisher={Wiley}, author={Dimitrov, Mladen and Januszewski, Fabian and Raghuram, A.}, year={2021}, pages={2437–2468} }' chicago: 'Dimitrov, Mladen, Fabian Januszewski, and A. Raghuram. “L-Functions of GL(2n): P-Adic Properties and Non-Vanishing of Twists.” Compositio Mathematica 156, no. 12 (2021): 2437–68. https://doi.org/10.1112/s0010437x20007551.' ieee: 'M. Dimitrov, F. Januszewski, and A. Raghuram, “L-functions of GL(2n): p-adic properties and non-vanishing of twists,” Compositio Mathematica, vol. 156, no. 12, pp. 2437–2468, 2021, doi: 10.1112/s0010437x20007551.' mla: 'Dimitrov, Mladen, et al. “L-Functions of GL(2n): P-Adic Properties and Non-Vanishing of Twists.” Compositio Mathematica, vol. 156, no. 12, Wiley, 2021, pp. 2437–68, doi:10.1112/s0010437x20007551.' short: M. Dimitrov, F. Januszewski, A. Raghuram, Compositio Mathematica 156 (2021) 2437–2468. date_created: 2024-04-03T16:58:55Z date_updated: 2024-04-03T17:13:25Z doi: 10.1112/s0010437x20007551 intvolume: ' 156' issue: '12' keyword: - Algebra and Number Theory language: - iso: eng page: 2437-2468 publication: Compositio Mathematica publication_identifier: issn: - 0010-437X - 1570-5846 publication_status: published publisher: Wiley status: public title: 'L-functions of GL(2n): p-adic properties and non-vanishing of twists' type: journal_article user_id: '81636' volume: 156 year: '2021' ... --- _id: '53199' article_type: review author: - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski orcid: 0000-0002-3184-237X citation: ama: Januszewski F. Von ganzen Zahlen zu L-Funktionen. Mitteilungen der Deutschen Mathematiker-Vereinigung. 2021;29(2):68-72. doi:10.1515/dmvm-2021-0027 apa: Januszewski, F. (2021). Von ganzen Zahlen zu L-Funktionen. Mitteilungen der Deutschen Mathematiker-Vereinigung, 29(2), 68–72. https://doi.org/10.1515/dmvm-2021-0027 bibtex: '@article{Januszewski_2021, title={Von ganzen Zahlen zu L-Funktionen}, volume={29}, DOI={10.1515/dmvm-2021-0027}, number={2}, journal={Mitteilungen der Deutschen Mathematiker-Vereinigung}, publisher={Walter de Gruyter GmbH}, author={Januszewski, Fabian}, year={2021}, pages={68–72} }' chicago: 'Januszewski, Fabian. “Von ganzen Zahlen zu L-Funktionen.” Mitteilungen der Deutschen Mathematiker-Vereinigung 29, no. 2 (2021): 68–72. https://doi.org/10.1515/dmvm-2021-0027.' ieee: 'F. Januszewski, “Von ganzen Zahlen zu L-Funktionen,” Mitteilungen der Deutschen Mathematiker-Vereinigung, vol. 29, no. 2, pp. 68–72, 2021, doi: 10.1515/dmvm-2021-0027.' mla: Januszewski, Fabian. “Von ganzen Zahlen zu L-Funktionen.” Mitteilungen der Deutschen Mathematiker-Vereinigung, vol. 29, no. 2, Walter de Gruyter GmbH, 2021, pp. 68–72, doi:10.1515/dmvm-2021-0027. short: F. Januszewski, Mitteilungen der Deutschen Mathematiker-Vereinigung 29 (2021) 68–72. date_created: 2024-04-03T17:21:35Z date_updated: 2024-04-03T17:22:10Z doi: 10.1515/dmvm-2021-0027 intvolume: ' 29' issue: '2' keyword: - Earth-Surface Processes language: - iso: ger page: 68-72 publication: Mitteilungen der Deutschen Mathematiker-Vereinigung publication_identifier: issn: - 0942-5977 - 0947-4471 publication_status: published publisher: Walter de Gruyter GmbH status: public title: Von ganzen Zahlen zu L-Funktionen type: journal_article user_id: '81636' volume: 29 year: '2021' ... --- _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: '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: '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: '53196' abstract: - lang: eng text: "We study Hecke algebras for pairs $({\\mathfrak g},K)$ over arbitrary fields\r\n$E$ of characteristic $0$, define the Bernstein functor and give another\r\ndefinition of the Zuckerman functor over $E$. Building on this and the author's\r\nprevious work on rational structures on automorphic representations, we show\r\nthat hard duality remains valid over $E$ and apply this result to the study of\r\nrationality properties of Sun's cohomologically induced functionals. Our main\r\napplication are period relations for the special values of standard\r\n$L$-functions of automorphic representations of $\\mathrm{GL}(2n)$ admitting\r\nShalika models." author: - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski citation: ama: Januszewski F. On Period Relations for Automorphic L-functions II. arXiv:160404253. apa: Januszewski, F. (n.d.). On Period Relations for Automorphic L-functions II. In arXiv:1604.04253. bibtex: '@article{Januszewski, title={On Period Relations for Automorphic L-functions II}, journal={arXiv:1604.04253}, author={Januszewski, Fabian} }' chicago: Januszewski, Fabian. “On Period Relations for Automorphic L-Functions II.” ArXiv:1604.04253, n.d. ieee: F. Januszewski, “On Period Relations for Automorphic L-functions II,” arXiv:1604.04253. . mla: Januszewski, Fabian. “On Period Relations for Automorphic L-Functions II.” ArXiv:1604.04253. short: F. Januszewski, ArXiv:1604.04253 (n.d.). date_created: 2024-04-03T17:13:55Z date_updated: 2024-04-03T17:14:52Z external_id: arxiv: - '1604.04253' language: - iso: eng page: '65' publication: arXiv:1604.04253 publication_status: submitted status: public title: On Period Relations for Automorphic L-functions II type: preprint user_id: '81636' year: '2016' ... --- _id: '59180' author: - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski orcid: 0000-0002-3184-237X citation: ama: Januszewski F. On Deligne’s Conjecture on Special Values of L-Functions.; 2015. apa: Januszewski, F. (2015). On Deligne’s Conjecture on Special Values of L-functions. bibtex: '@book{Januszewski_2015, title={On Deligne’s Conjecture on Special Values of L-functions}, author={Januszewski, Fabian}, year={2015} }' chicago: Januszewski, Fabian. On Deligne’s Conjecture on Special Values of L-Functions, 2015. ieee: F. Januszewski, On Deligne’s Conjecture on Special Values of L-functions. 2015. mla: Januszewski, Fabian. On Deligne’s Conjecture on Special Values of L-Functions. 2015. short: F. Januszewski, On Deligne’s Conjecture on Special Values of L-Functions, 2015. date_created: 2025-03-28T08:41:22Z date_updated: 2025-03-28T08:42:12Z language: - iso: eng status: public title: On Deligne's Conjecture on Special Values of L-functions type: habilitation user_id: '81636' year: '2015' ... --- _id: '53187' article_type: original author: - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski citation: ama: Januszewski F. Algebraic Characters of Harish-Chandra modules. Journal of Lie Theory. 2014;24:1161-1206. apa: Januszewski, F. (2014). Algebraic Characters of Harish-Chandra modules. Journal of Lie Theory, 24, 1161–1206. bibtex: '@article{Januszewski_2014, title={Algebraic Characters of Harish-Chandra modules}, volume={24}, journal={Journal of Lie Theory}, publisher={Heldermann Verlag}, author={Januszewski, Fabian}, year={2014}, pages={1161–1206} }' chicago: 'Januszewski, Fabian. “Algebraic Characters of Harish-Chandra Modules.” Journal of Lie Theory 24 (2014): 1161–1206.' ieee: F. Januszewski, “Algebraic Characters of Harish-Chandra modules,” Journal of Lie Theory, vol. 24, pp. 1161–1206, 2014. mla: Januszewski, Fabian. “Algebraic Characters of Harish-Chandra Modules.” Journal of Lie Theory, vol. 24, Heldermann Verlag, 2014, pp. 1161–206. short: F. Januszewski, Journal of Lie Theory 24 (2014) 1161–1206. date_created: 2024-04-03T16:53:37Z date_updated: 2024-04-03T17:04:05Z extern: '1' intvolume: ' 24' language: - iso: eng page: 1161-1206 publication: Journal of Lie Theory publication_identifier: issn: - 0949–5932 publication_status: published publisher: Heldermann Verlag status: public title: Algebraic Characters of Harish-Chandra modules type: journal_article user_id: '81636' volume: 24 year: '2014' ... --- _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: '53186' abstract: - lang: eng text: "These are expanded notes from lectures at the Workshop \"Representation Theory\r\nand Applications\" held at Yeditepe University, Istanbul, in honor of Roger E.\r\nHowe. They are supplemented by the application of algebraic character theory to\r\nthe construction of Galois-equivariant characters for Harish-Chandra modules." author: - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski citation: ama: Januszewski F. Algebraic Characters of Harish-Chandra modules and arithmeticity. arXiv:13106884. apa: Januszewski, F. (n.d.). Algebraic Characters of Harish-Chandra modules and arithmeticity. In arXiv:1310.6884. bibtex: '@article{Januszewski, title={Algebraic Characters of Harish-Chandra modules and arithmeticity}, journal={arXiv:1310.6884}, author={Januszewski, Fabian} }' chicago: Januszewski, Fabian. “Algebraic Characters of Harish-Chandra Modules and Arithmeticity.” ArXiv:1310.6884, n.d. ieee: F. Januszewski, “Algebraic Characters of Harish-Chandra modules and arithmeticity,” arXiv:1310.6884. . mla: Januszewski, Fabian. “Algebraic Characters of Harish-Chandra Modules and Arithmeticity.” ArXiv:1310.6884. short: F. Januszewski, ArXiv:1310.6884 (n.d.). date_created: 2024-04-03T16:49:36Z date_updated: 2024-04-03T17:12:17Z extern: '1' external_id: arxiv: - '1310.6884' language: - iso: eng publication: arXiv:1310.6884 publication_status: draft status: public title: Algebraic Characters of Harish-Chandra modules and arithmeticity type: preprint user_id: '81636' year: '2013' ... --- _id: '53184' article_type: original author: - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski citation: ama: Januszewski F. Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields. Journal für die reine und angewandte Mathematik (Crelles Journal). 2010;2011(653):1-45. doi:10.1515/crelle.2011.018 apa: Januszewski, F. (2010). Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields. Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal), 2011(653), 1–45. https://doi.org/10.1515/crelle.2011.018 bibtex: '@article{Januszewski_2010, title={Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields}, volume={2011}, DOI={10.1515/crelle.2011.018}, number={653}, journal={Journal für die reine und angewandte Mathematik (Crelles Journal)}, publisher={Walter de Gruyter GmbH}, author={Januszewski, Fabian}, year={2010}, pages={1–45} }' chicago: 'Januszewski, Fabian. “Modular Symbols for Reductive Groups and P-Adic Rankin–Selberg Convolutions over Number Fields.” Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2011, no. 653 (2010): 1–45. https://doi.org/10.1515/crelle.2011.018.' ieee: 'F. Januszewski, “Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields,” Journal für die reine und angewandte Mathematik (Crelles Journal), vol. 2011, no. 653, pp. 1–45, 2010, doi: 10.1515/crelle.2011.018.' mla: Januszewski, Fabian. “Modular Symbols for Reductive Groups and P-Adic Rankin–Selberg Convolutions over Number Fields.” Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal), vol. 2011, no. 653, Walter de Gruyter GmbH, 2010, pp. 1–45, doi:10.1515/crelle.2011.018. short: F. Januszewski, Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2011 (2010) 1–45. date_created: 2024-04-03T16:47:27Z date_updated: 2024-04-03T17:13:10Z doi: 10.1515/crelle.2011.018 extern: '1' intvolume: ' 2011' issue: '653' keyword: - Applied Mathematics - General Mathematics language: - iso: eng page: 1-45 publication: Journal für die reine und angewandte Mathematik (Crelles Journal) publication_identifier: issn: - 0075-4102 - 1435-5345 publication_status: published publisher: Walter de Gruyter GmbH status: public title: Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields type: journal_article user_id: '81636' volume: 2011 year: '2010' ... --- _id: '53183' author: - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski citation: ama: Januszewski F. p-adische Rankin-Selberg-Faltungen. KIT Scientific Publishing, 2009; 2009. doi:10.5445/KSP/1000011510 apa: Januszewski, F. (2009). p-adische Rankin-Selberg-Faltungen. KIT Scientific Publishing, 2009. https://doi.org/10.5445/KSP/1000011510 bibtex: '@book{Januszewski_2009, place={Karlsruhe}, title={p-adische Rankin-Selberg-Faltungen}, DOI={10.5445/KSP/1000011510}, publisher={KIT Scientific Publishing, 2009}, author={Januszewski, Fabian}, year={2009} }' chicago: 'Januszewski, Fabian. p-adische Rankin-Selberg-Faltungen. Karlsruhe: KIT Scientific Publishing, 2009, 2009. https://doi.org/10.5445/KSP/1000011510.' ieee: 'F. Januszewski, p-adische Rankin-Selberg-Faltungen. Karlsruhe: KIT Scientific Publishing, 2009, 2009.' mla: Januszewski, Fabian. p-adische Rankin-Selberg-Faltungen. KIT Scientific Publishing, 2009, 2009, doi:10.5445/KSP/1000011510. short: F. Januszewski, p-adische Rankin-Selberg-Faltungen, KIT Scientific Publishing, 2009, Karlsruhe, 2009. date_created: 2024-04-03T16:43:36Z date_updated: 2024-04-03T17:05:30Z doi: 10.5445/KSP/1000011510 extern: '1' language: - iso: ger page: "\tVI, 92 S." place: Karlsruhe publication_identifier: isbn: - 978-3-86644-373-0 publication_status: published publisher: KIT Scientific Publishing, 2009 status: public title: p-adische Rankin-Selberg-Faltungen type: dissertation user_id: '81636' year: '2009' ... --- _id: '53181' author: - first_name: Willi full_name: Geiselmann, Willi last_name: Geiselmann - first_name: Fabian full_name: Januszewski, Fabian id: '81636' last_name: Januszewski - first_name: Hubert full_name: Köpfer, Hubert last_name: Köpfer - first_name: Jan full_name: Pelzl, Jan last_name: Pelzl - first_name: Rainer full_name: Steinwandt, Rainer last_name: Steinwandt citation: ama: 'Geiselmann W, Januszewski F, Köpfer H, Pelzl J, Steinwandt R. A Simpler Sieving Device: Combining ECM and TWIRL. In: Information Security and Cryptology – ICISC 2006. Springer Berlin Heidelberg; 2006. doi:10.1007/11927587_12' apa: 'Geiselmann, W., Januszewski, F., Köpfer, H., Pelzl, J., & Steinwandt, R. (2006). A Simpler Sieving Device: Combining ECM and TWIRL. In Information Security and Cryptology – ICISC 2006. Springer Berlin Heidelberg. https://doi.org/10.1007/11927587_12' bibtex: '@inbook{Geiselmann_Januszewski_Köpfer_Pelzl_Steinwandt_2006, place={Berlin, Heidelberg}, title={A Simpler Sieving Device: Combining ECM and TWIRL}, DOI={10.1007/11927587_12}, booktitle={Information Security and Cryptology – ICISC 2006}, publisher={Springer Berlin Heidelberg}, author={Geiselmann, Willi and Januszewski, Fabian and Köpfer, Hubert and Pelzl, Jan and Steinwandt, Rainer}, year={2006} }' chicago: 'Geiselmann, Willi, Fabian Januszewski, Hubert Köpfer, Jan Pelzl, and Rainer Steinwandt. “A Simpler Sieving Device: Combining ECM and TWIRL.” In Information Security and Cryptology – ICISC 2006. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. https://doi.org/10.1007/11927587_12.' ieee: 'W. Geiselmann, F. Januszewski, H. Köpfer, J. Pelzl, and R. Steinwandt, “A Simpler Sieving Device: Combining ECM and TWIRL,” in Information Security and Cryptology – ICISC 2006, Berlin, Heidelberg: Springer Berlin Heidelberg, 2006.' mla: 'Geiselmann, Willi, et al. “A Simpler Sieving Device: Combining ECM and TWIRL.” Information Security and Cryptology – ICISC 2006, Springer Berlin Heidelberg, 2006, doi:10.1007/11927587_12.' short: 'W. Geiselmann, F. Januszewski, H. Köpfer, J. Pelzl, R. Steinwandt, in: Information Security and Cryptology – ICISC 2006, Springer Berlin Heidelberg, Berlin, Heidelberg, 2006.' date_created: 2024-04-03T16:36:47Z date_updated: 2024-04-03T17:11:55Z doi: 10.1007/11927587_12 extern: '1' language: - iso: eng place: Berlin, Heidelberg publication: Information Security and Cryptology – ICISC 2006 publication_identifier: isbn: - '9783540491125' - '9783540491149' issn: - 0302-9743 - 1611-3349 publication_status: published publisher: Springer Berlin Heidelberg status: public title: 'A Simpler Sieving Device: Combining ECM and TWIRL' type: book_chapter user_id: '81636' year: '2006' ...