[{"related_material":{"link":[{"relation":"confirmation","url":"https://arxiv.org/abs/2506.23251"}]},"page":"38","citation":{"short":"F. Januszewski, ArXiv:2506.23251 (2025).","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} }","mla":"Januszewski, Fabian. “Rational Structures on Quivers and a Generalization of Gelfand’s Equivalence.” <i>ArXiv:2506.23251</i>, 2025.","apa":"Januszewski, F. (2025). Rational structures on quivers and a generalization of Gelfand’s equivalence. In <i>arXiv:2506.23251</i>.","ama":"Januszewski F. Rational structures on quivers and a generalization of Gelfand’s equivalence. <i>arXiv:250623251</i>. Published online 2025.","ieee":"F. Januszewski, “Rational structures on quivers and a generalization of Gelfand’s equivalence,” <i>arXiv:2506.23251</i>. 2025.","chicago":"Januszewski, Fabian. “Rational Structures on Quivers and a Generalization of Gelfand’s Equivalence.” <i>ArXiv:2506.23251</i>, 2025."},"year":"2025","author":[{"orcid":"0000-0002-3184-237X","last_name":"Januszewski","full_name":"Januszewski, Fabian","id":"81636","first_name":"Fabian"}],"date_created":"2025-07-01T06:09:53Z","date_updated":"2025-07-01T06:10:03Z","title":"Rational structures on quivers and a generalization of Gelfand's equivalence","publication":"arXiv:2506.23251","type":"preprint","status":"public","user_id":"81636","_id":"60474","language":[{"iso":"eng"}]},{"publication_identifier":{"issn":["2194-1009"]},"publication_status":"inpress","page":"10","citation":{"chicago":"Januszewski, Fabian. “Families of D-Modules and Integral Models of (g, K)-Modules.” In <i>Proceedings of the 15-Th International Workshop “Lie Theory and Its Applications in Physics” (LT-15), (19-25 June 2023, Varna, Bulgaria)</i>, edited by Vladimir Dobrev, 10. Springer Proceedings in Mathematics &#38; Statistics. Springer, n.d.","ieee":"F. Januszewski, “Families of D-modules and integral models of (g, K)-modules,” in <i>Proceedings of the 15-th International Workshop “Lie Theory and Its Applications in Physics” (LT-15), (19-25 June 2023, Varna, Bulgaria)</i>, p. 10.","ama":"Januszewski F. Families of D-modules and integral models of (g, K)-modules. In: Dobrev V, ed. <i>Proceedings of the 15-Th International Workshop “Lie Theory and Its Applications in Physics” (LT-15), (19-25 June 2023, Varna, Bulgaria)</i>. Springer Proceedings in Mathematics &#38; Statistics. Springer; :10.","apa":"Januszewski, F. (n.d.). Families of D-modules and integral models of (g, K)-modules. In V. Dobrev (Ed.), <i>Proceedings of the 15-th International Workshop “Lie Theory and Its Applications in Physics” (LT-15), (19-25 June 2023, Varna, Bulgaria)</i> (p. 10). Springer.","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.","mla":"Januszewski, Fabian. “Families of D-Modules and Integral Models of (g, K)-Modules.” <i>Proceedings of the 15-Th International Workshop “Lie Theory and Its Applications in Physics” (LT-15), (19-25 June 2023, Varna, Bulgaria)</i>, edited by Vladimir Dobrev, Springer, p. 10.","bibtex":"@inproceedings{Januszewski, series={Springer Proceedings in Mathematics &#38; 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 &#38; Statistics} }"},"year":"2024","date_created":"2024-04-03T17:09:50Z","author":[{"first_name":"Fabian","full_name":"Januszewski, Fabian","id":"81636","last_name":"Januszewski"}],"date_updated":"2024-04-03T17:12:31Z","publisher":"Springer","title":"Families of D-modules and integral models of (g, K)-modules","publication":"Proceedings of the 15-th International Workshop \"Lie Theory and Its Applications in Physics\" (LT-15), (19-25 June 2023, Varna, Bulgaria)","type":"conference","status":"public","editor":[{"first_name":"Vladimir","last_name":"Dobrev","full_name":"Dobrev, Vladimir"}],"user_id":"81636","series_title":"Springer Proceedings in Mathematics & Statistics","_id":"53194","language":[{"iso":"eng"}]},{"user_id":"81636","_id":"53190","article_type":"original","type":"journal_article","status":"public","volume":146,"author":[{"orcid":"0000-0002-3184-237X","last_name":"Januszewski","id":"81636","full_name":"Januszewski, Fabian","first_name":"Fabian"}],"date_updated":"2024-10-22T14:43:13Z","publication_identifier":{"issn":["0002-9327"]},"publication_status":"published","intvolume":"       146","page":"495-578","citation":{"ama":"Januszewski F. Non-abelian $p$-adic Rankin-Selberg $L$-functions and non-vanishing of  central $L$-values. <i>American Journal of Mathematics</i>. 2024;146(2):495-578.","ieee":"F. Januszewski, “Non-abelian $p$-adic Rankin-Selberg $L$-functions and non-vanishing of  central $L$-values,” <i>American Journal of Mathematics</i>, vol. 146, no. 2, pp. 495–578, 2024.","chicago":"Januszewski, Fabian. “Non-Abelian $p$-Adic Rankin-Selberg $L$-Functions and Non-Vanishing of  Central $L$-Values.” <i>American Journal of Mathematics</i> 146, no. 2 (2024): 495–578.","short":"F. Januszewski, American Journal of Mathematics 146 (2024) 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} }","mla":"Januszewski, Fabian. “Non-Abelian $p$-Adic Rankin-Selberg $L$-Functions and Non-Vanishing of  Central $L$-Values.” <i>American Journal of Mathematics</i>, vol. 146, no. 2, Johns Hopkins University, Johns Hopkins University Press, 2024, pp. 495–578.","apa":"Januszewski, F. (2024). Non-abelian $p$-adic Rankin-Selberg $L$-functions and non-vanishing of  central $L$-values. <i>American Journal of Mathematics</i>, <i>146</i>(2), 495–578."},"external_id":{"arxiv":["1708.02616"]},"language":[{"iso":"eng"}],"publication":"American Journal of Mathematics","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."}],"date_created":"2024-04-03T16:55:16Z","publisher":"Johns Hopkins University, Johns Hopkins University Press","title":"Non-abelian $p$-adic Rankin-Selberg $L$-functions and non-vanishing of  central $L$-values","issue":"2","year":"2024"},{"language":[{"iso":"eng"}],"_id":"53197","user_id":"81636","abstract":[{"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.","lang":"eng"}],"status":"public","type":"preprint","publication":"arXiv:2404.03955","title":"Locally algebraic representations and integral structures on the cohomology of arithmetic groups","date_updated":"2024-12-06T13:02:43Z","date_created":"2024-04-03T17:16:53Z","author":[{"id":"81636","full_name":"Januszewski, Fabian","orcid":"0000-0002-3184-237X","last_name":"Januszewski","first_name":"Fabian"}],"year":"2024","citation":{"ama":"Januszewski F. Locally algebraic representations and integral structures on the cohomology of arithmetic groups. <i>arXiv:240403955</i>. Published online 2024.","ieee":"F. Januszewski, “Locally algebraic representations and integral structures on the cohomology of arithmetic groups,” <i>arXiv:2404.03955</i>. 2024.","chicago":"Januszewski, Fabian. “Locally Algebraic Representations and Integral Structures on the Cohomology of Arithmetic Groups.” <i>ArXiv:2404.03955</i>, 2024.","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} }","mla":"Januszewski, Fabian. “Locally Algebraic Representations and Integral Structures on the Cohomology of Arithmetic Groups.” <i>ArXiv:2404.03955</i>, 2024.","short":"F. Januszewski, ArXiv:2404.03955 (2024).","apa":"Januszewski, F. (2024). Locally algebraic representations and integral structures on the cohomology of arithmetic groups. In <i>arXiv:2404.03955</i>."},"page":"69"},{"year":"2023","page":"170","citation":{"apa":"Hayashi, T., &#38; Januszewski, F. (2023). Families of twisted D-modules and arithmetic models of  Harish-Chandra modules. In <i>arXiv:1808.10709</i>.","mla":"Hayashi, Takuma, and Fabian Januszewski. “Families of Twisted D-Modules and Arithmetic Models of  Harish-Chandra Modules.” <i>ArXiv:1808.10709</i>, 2023.","short":"T. Hayashi, F. Januszewski, ArXiv:1808.10709 (2023).","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} }","ieee":"T. Hayashi and F. Januszewski, “Families of twisted D-modules and arithmetic models of  Harish-Chandra modules,” <i>arXiv:1808.10709</i>. 2023.","chicago":"Hayashi, Takuma, and Fabian Januszewski. “Families of Twisted D-Modules and Arithmetic Models of  Harish-Chandra Modules.” <i>ArXiv:1808.10709</i>, 2023.","ama":"Hayashi T, Januszewski F. Families of twisted D-modules and arithmetic models of  Harish-Chandra modules. <i>arXiv:180810709</i>. Published online 2023."},"date_updated":"2024-04-03T17:11:07Z","date_created":"2024-04-03T17:10:19Z","author":[{"first_name":"Takuma","last_name":"Hayashi","full_name":"Hayashi, Takuma"},{"first_name":"Fabian","last_name":"Januszewski","full_name":"Januszewski, Fabian","id":"81636"}],"title":"Families of twisted D-modules and arithmetic models of  Harish-Chandra modules","publication":"arXiv:1808.10709","type":"preprint","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."}],"status":"public","external_id":{"arxiv":["1808.10709"]},"_id":"53195","user_id":"81636","language":[{"iso":"eng"}]},{"citation":{"apa":"Dimitrov, M., Januszewski, F., &#38; Raghuram, A. (2021). L-functions of GL(2n): p-adic properties and non-vanishing of twists. <i>Compositio Mathematica</i>, <i>156</i>(12), 2437–2468. <a href=\"https://doi.org/10.1112/s0010437x20007551\">https://doi.org/10.1112/s0010437x20007551</a>","short":"M. Dimitrov, F. Januszewski, A. Raghuram, Compositio Mathematica 156 (2021) 2437–2468.","mla":"Dimitrov, Mladen, et al. “L-Functions of GL(2n): P-Adic Properties and Non-Vanishing of Twists.” <i>Compositio Mathematica</i>, vol. 156, no. 12, Wiley, 2021, pp. 2437–68, doi:<a href=\"https://doi.org/10.1112/s0010437x20007551\">10.1112/s0010437x20007551</a>.","bibtex":"@article{Dimitrov_Januszewski_Raghuram_2021, title={L-functions of GL(2n): p-adic properties and non-vanishing of twists}, volume={156}, DOI={<a href=\"https://doi.org/10.1112/s0010437x20007551\">10.1112/s0010437x20007551</a>}, number={12}, journal={Compositio Mathematica}, publisher={Wiley}, author={Dimitrov, Mladen and Januszewski, Fabian and Raghuram, A.}, year={2021}, pages={2437–2468} }","ieee":"M. Dimitrov, F. Januszewski, and A. Raghuram, “L-functions of GL(2n): p-adic properties and non-vanishing of twists,” <i>Compositio Mathematica</i>, vol. 156, no. 12, pp. 2437–2468, 2021, doi: <a href=\"https://doi.org/10.1112/s0010437x20007551\">10.1112/s0010437x20007551</a>.","chicago":"Dimitrov, Mladen, Fabian Januszewski, and A. Raghuram. “L-Functions of GL(2n): P-Adic Properties and Non-Vanishing of Twists.” <i>Compositio Mathematica</i> 156, no. 12 (2021): 2437–68. <a href=\"https://doi.org/10.1112/s0010437x20007551\">https://doi.org/10.1112/s0010437x20007551</a>.","ama":"Dimitrov M, Januszewski F, Raghuram A. L-functions of GL(2n): p-adic properties and non-vanishing of twists. <i>Compositio Mathematica</i>. 2021;156(12):2437-2468. doi:<a href=\"https://doi.org/10.1112/s0010437x20007551\">10.1112/s0010437x20007551</a>"},"page":"2437-2468","intvolume":"       156","publication_status":"published","publication_identifier":{"issn":["0010-437X","1570-5846"]},"doi":"10.1112/s0010437x20007551","author":[{"full_name":"Dimitrov, Mladen","last_name":"Dimitrov","first_name":"Mladen"},{"first_name":"Fabian","last_name":"Januszewski","id":"81636","full_name":"Januszewski, Fabian"},{"full_name":"Raghuram, A.","last_name":"Raghuram","first_name":"A."}],"volume":156,"date_updated":"2024-04-03T17:13:25Z","status":"public","type":"journal_article","article_type":"original","user_id":"81636","_id":"53192","year":"2021","issue":"12","title":"L-functions of GL(2n): p-adic properties and non-vanishing of twists","date_created":"2024-04-03T16:58:55Z","publisher":"Wiley","abstract":[{"text":"<jats:p>The principal aim of this article is to attach and study <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline4.png\" /><jats:tex-math>$p$</jats:tex-math></jats:alternatives></jats:inline-formula>-adic <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline5.png\" /><jats:tex-math>$L$</jats:tex-math></jats:alternatives></jats:inline-formula>-functions to cohomological cuspidal automorphic representations <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline6.png\" /><jats:tex-math>$\\Pi$</jats:tex-math></jats:alternatives></jats:inline-formula> of <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline7.png\" /><jats:tex-math>$\\operatorname {GL}_{2n}$</jats:tex-math></jats:alternatives></jats:inline-formula> over a totally real field <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline8.png\" /><jats:tex-math>$F$</jats:tex-math></jats:alternatives></jats:inline-formula> 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 <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline9.png\" /><jats:tex-math>$p$</jats:tex-math></jats:alternatives></jats:inline-formula>-adic <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline10.png\" /><jats:tex-math>$L$</jats:tex-math></jats:alternatives></jats:inline-formula>-functions are distributions on the Galois group of the maximal abelian extension of <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline11.png\" /><jats:tex-math>$F$</jats:tex-math></jats:alternatives></jats:inline-formula> unramified outside <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline12.png\" /><jats:tex-math>$p\\infty$</jats:tex-math></jats:alternatives></jats:inline-formula>. Moreover, we work under a weaker Panchishkine-type condition on <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline13.png\" /><jats:tex-math>$\\Pi _p$</jats:tex-math></jats:alternatives></jats:inline-formula> rather than the full ordinariness condition. Finally, we prove the so-called Manin relations between the <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline14.png\" /><jats:tex-math>$p$</jats:tex-math></jats:alternatives></jats:inline-formula>-adic <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline15.png\" /><jats:tex-math>$L$</jats:tex-math></jats:alternatives></jats:inline-formula>-functions at <jats:italic>all</jats:italic> critical points. This has the striking consequence that, given a unitary <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline16.png\" /><jats:tex-math>$\\Pi$</jats:tex-math></jats:alternatives></jats:inline-formula> whose standard <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline17.png\" /><jats:tex-math>$L$</jats:tex-math></jats:alternatives></jats:inline-formula>-function admits at least two critical points, and given a prime <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline18.png\" /><jats:tex-math>$p$</jats:tex-math></jats:alternatives></jats:inline-formula> such that <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline19.png\" /><jats:tex-math>$\\Pi _p$</jats:tex-math></jats:alternatives></jats:inline-formula> is ordinary, the central critical value <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline20.png\" /><jats:tex-math>$L(\\frac {1}{2}, \\Pi \\otimes \\chi )$</jats:tex-math></jats:alternatives></jats:inline-formula> is non-zero for all except finitely many Dirichlet characters <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline21.png\" /><jats:tex-math>$\\chi$</jats:tex-math></jats:alternatives></jats:inline-formula> of <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0010437X20007551_inline22.png\" /><jats:tex-math>$p$</jats:tex-math></jats:alternatives></jats:inline-formula>-power conductor.</jats:p>","lang":"eng"}],"publication":"Compositio Mathematica","language":[{"iso":"eng"}],"keyword":["Algebra and Number Theory"]},{"status":"public","type":"journal_article","publication":"Mitteilungen der Deutschen Mathematiker-Vereinigung","article_type":"review","keyword":["Earth-Surface Processes"],"language":[{"iso":"ger"}],"_id":"53199","user_id":"81636","year":"2021","citation":{"apa":"Januszewski, F. (2021). Von ganzen Zahlen zu L-Funktionen. <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i>, <i>29</i>(2), 68–72. <a href=\"https://doi.org/10.1515/dmvm-2021-0027\">https://doi.org/10.1515/dmvm-2021-0027</a>","bibtex":"@article{Januszewski_2021, title={Von ganzen Zahlen zu L-Funktionen}, volume={29}, DOI={<a href=\"https://doi.org/10.1515/dmvm-2021-0027\">10.1515/dmvm-2021-0027</a>}, number={2}, journal={Mitteilungen der Deutschen Mathematiker-Vereinigung}, publisher={Walter de Gruyter GmbH}, author={Januszewski, Fabian}, year={2021}, pages={68–72} }","mla":"Januszewski, Fabian. “Von ganzen Zahlen zu L-Funktionen.” <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i>, vol. 29, no. 2, Walter de Gruyter GmbH, 2021, pp. 68–72, doi:<a href=\"https://doi.org/10.1515/dmvm-2021-0027\">10.1515/dmvm-2021-0027</a>.","short":"F. Januszewski, Mitteilungen der Deutschen Mathematiker-Vereinigung 29 (2021) 68–72.","ama":"Januszewski F. Von ganzen Zahlen zu L-Funktionen. <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i>. 2021;29(2):68-72. doi:<a href=\"https://doi.org/10.1515/dmvm-2021-0027\">10.1515/dmvm-2021-0027</a>","chicago":"Januszewski, Fabian. “Von ganzen Zahlen zu L-Funktionen.” <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i> 29, no. 2 (2021): 68–72. <a href=\"https://doi.org/10.1515/dmvm-2021-0027\">https://doi.org/10.1515/dmvm-2021-0027</a>.","ieee":"F. Januszewski, “Von ganzen Zahlen zu L-Funktionen,” <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i>, vol. 29, no. 2, pp. 68–72, 2021, doi: <a href=\"https://doi.org/10.1515/dmvm-2021-0027\">10.1515/dmvm-2021-0027</a>."},"page":"68-72","intvolume":"        29","publication_status":"published","publication_identifier":{"issn":["0942-5977","0947-4471"]},"issue":"2","title":"Von ganzen Zahlen zu L-Funktionen","doi":"10.1515/dmvm-2021-0027","date_updated":"2024-04-03T17:22:10Z","publisher":"Walter de Gruyter GmbH","author":[{"first_name":"Fabian","orcid":"0000-0002-3184-237X","last_name":"Januszewski","full_name":"Januszewski, Fabian","id":"81636"}],"date_created":"2024-04-03T17:21:35Z","volume":29},{"title":"On period relations for automorphic 𝐿-functions I","date_created":"2024-04-03T16:58:26Z","publisher":"American Mathematical Society (AMS)","year":"2018","issue":"9","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Mathematics"],"abstract":[{"lang":"eng","text":"<p>This paper is the first in a series of two dedicated to the study of period relations of the type <disp-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L left-parenthesis one half plus k comma normal upper Pi right-parenthesis element-of left-parenthesis 2 pi i right-parenthesis Superscript d dot k Baseline normal upper Omega Subscript left-parenthesis negative 1 right-parenthesis Sub Superscript k Subscript Baseline reverse-solidus bf upper Q left-parenthesis normal upper Pi right-parenthesis comma one half plus k critical comma\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>L</mml:mi>\r\n      <mml:mstyle scriptlevel=\"0\">\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mo maxsize=\"1.623em\" minsize=\"1.623em\">(</mml:mo>\r\n        </mml:mrow>\r\n      </mml:mstyle>\r\n      <mml:mfrac>\r\n        <mml:mn>1</mml:mn>\r\n        <mml:mn>2</mml:mn>\r\n      </mml:mfrac>\r\n      <mml:mo>+</mml:mo>\r\n      <mml:mi>k</mml:mi>\r\n      <mml:mo>,</mml:mo>\r\n      <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n      <mml:mstyle scriptlevel=\"0\">\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mo maxsize=\"1.623em\" minsize=\"1.623em\">)</mml:mo>\r\n        </mml:mrow>\r\n      </mml:mstyle>\r\n      <mml:mspace width=\"thickmathspace\" />\r\n      <mml:mo>∈<!-- ∈ --></mml:mo>\r\n      <mml:mspace width=\"thickmathspace\" />\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mn>2</mml:mn>\r\n      <mml:mi>π<!-- π --></mml:mi>\r\n      <mml:mi>i</mml:mi>\r\n      <mml:msup>\r\n        <mml:mo stretchy=\"false\">)</mml:mo>\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mi>d</mml:mi>\r\n          <mml:mo>⋅<!-- ⋅ --></mml:mo>\r\n          <mml:mi>k</mml:mi>\r\n        </mml:mrow>\r\n      </mml:msup>\r\n      <mml:msub>\r\n        <mml:mi mathvariant=\"normal\">Ω<!-- Ω --></mml:mi>\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mo stretchy=\"false\">(</mml:mo>\r\n          <mml:mo>−<!-- − --></mml:mo>\r\n          <mml:mn>1</mml:mn>\r\n          <mml:msup>\r\n            <mml:mo stretchy=\"false\">)</mml:mo>\r\n            <mml:mi>k</mml:mi>\r\n          </mml:msup>\r\n        </mml:mrow>\r\n      </mml:msub>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mtext>\\bf Q</mml:mtext>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n      <mml:mo>,</mml:mo>\r\n      <mml:mspace width=\"1em\" />\r\n      <mml:mfrac>\r\n        <mml:mn>1</mml:mn>\r\n        <mml:mn>2</mml:mn>\r\n      </mml:mfrac>\r\n      <mml:mo>+</mml:mo>\r\n      <mml:mi>k</mml:mi>\r\n      <mml:mspace width=\"thickmathspace\" />\r\n      <mml:mtext>critical</mml:mtext>\r\n      <mml:mo>,</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">\\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*}</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</disp-formula>\r\n for certain automorphic representations <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"normal upper Pi\">\r\n  <mml:semantics>\r\n    <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">\\Pi</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> of a reductive group <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper G period\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>G</mml:mi>\r\n      <mml:mo>.</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">G.</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> In this paper we discuss the case <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper G equals normal upper G normal upper L left-parenthesis n plus 1 right-parenthesis times normal upper G normal upper L left-parenthesis n right-parenthesis period\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>G</mml:mi>\r\n      <mml:mo>=</mml:mo>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mi mathvariant=\"normal\">G</mml:mi>\r\n        <mml:mi mathvariant=\"normal\">L</mml:mi>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mi>n</mml:mi>\r\n      <mml:mo>+</mml:mo>\r\n      <mml:mn>1</mml:mn>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n      <mml:mo>×<!-- × --></mml:mo>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mi mathvariant=\"normal\">G</mml:mi>\r\n        <mml:mi mathvariant=\"normal\">L</mml:mi>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mi>n</mml:mi>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n      <mml:mo>.</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">G=\\mathrm {GL}(n+1)\\times \\mathrm {GL}(n).</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> The case <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper G equals normal upper G normal upper L left-parenthesis 2 n right-parenthesis\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>G</mml:mi>\r\n      <mml:mo>=</mml:mo>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mi mathvariant=\"normal\">G</mml:mi>\r\n        <mml:mi mathvariant=\"normal\">L</mml:mi>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mn>2</mml:mn>\r\n      <mml:mi>n</mml:mi>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">G=\\mathrm {GL}(2n)</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> 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 <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"normal upper Pi\">\r\n  <mml:semantics>\r\n    <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">\\Pi</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> under consideration. The new period relations we prove are in accordance with Deligne’s Conjecture on special values of <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L\">\r\n  <mml:semantics>\r\n    <mml:mi>L</mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">L</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula>-functions, and the author expects this method to apply to other cases as well.</p>"}],"publication":"Transactions of the American Mathematical Society","doi":"10.1090/tran/7527","author":[{"first_name":"Fabian","orcid":"0000-0002-3184-237X","last_name":"Januszewski","full_name":"Januszewski, Fabian","id":"81636"}],"volume":371,"date_updated":"2024-04-03T17:26:38Z","citation":{"mla":"Januszewski, Fabian. “On Period Relations for Automorphic 𝐿-Functions I.” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 9, American Mathematical Society (AMS), 2018, pp. 6547–80, doi:<a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>.","bibtex":"@article{Januszewski_2018, title={On period relations for automorphic 𝐿-functions I}, volume={371}, DOI={<a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>}, number={9}, journal={Transactions of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Januszewski, Fabian}, year={2018}, pages={6547–6580} }","short":"F. Januszewski, Transactions of the American Mathematical Society 371 (2018) 6547–6580.","apa":"Januszewski, F. (2018). On period relations for automorphic 𝐿-functions I. <i>Transactions of the American Mathematical Society</i>, <i>371</i>(9), 6547–6580. <a href=\"https://doi.org/10.1090/tran/7527\">https://doi.org/10.1090/tran/7527</a>","ieee":"F. Januszewski, “On period relations for automorphic 𝐿-functions I,” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 9, pp. 6547–6580, 2018, doi: <a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>.","chicago":"Januszewski, Fabian. “On Period Relations for Automorphic 𝐿-Functions I.” <i>Transactions of the American Mathematical Society</i> 371, no. 9 (2018): 6547–80. <a href=\"https://doi.org/10.1090/tran/7527\">https://doi.org/10.1090/tran/7527</a>.","ama":"Januszewski F. On period relations for automorphic 𝐿-functions I. <i>Transactions of the American Mathematical Society</i>. 2018;371(9):6547-6580. doi:<a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>"},"page":"6547-6580","intvolume":"       371","publication_status":"published","publication_identifier":{"issn":["0002-9947","1088-6850"]},"extern":"1","article_type":"original","user_id":"81636","_id":"53191","status":"public","type":"journal_article"},{"type":"journal_article","publication":"Mathematische Annalen","status":"public","_id":"53189","user_id":"81636","article_type":"original","keyword":["General Mathematics"],"extern":"1","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0025-5831","1432-1807"]},"issue":"3-4","year":"2017","citation":{"chicago":"Januszewski, Fabian. “Rational Structures on Automorphic Representations.” <i>Mathematische Annalen</i> 370, no. 3–4 (2017): 1805–81. <a href=\"https://doi.org/10.1007/s00208-017-1567-6\">https://doi.org/10.1007/s00208-017-1567-6</a>.","ieee":"F. Januszewski, “Rational structures on automorphic representations,” <i>Mathematische Annalen</i>, vol. 370, no. 3–4, pp. 1805–1881, 2017, doi: <a href=\"https://doi.org/10.1007/s00208-017-1567-6\">10.1007/s00208-017-1567-6</a>.","ama":"Januszewski F. Rational structures on automorphic representations. <i>Mathematische Annalen</i>. 2017;370(3-4):1805-1881. doi:<a href=\"https://doi.org/10.1007/s00208-017-1567-6\">10.1007/s00208-017-1567-6</a>","apa":"Januszewski, F. (2017). Rational structures on automorphic representations. <i>Mathematische Annalen</i>, <i>370</i>(3–4), 1805–1881. <a href=\"https://doi.org/10.1007/s00208-017-1567-6\">https://doi.org/10.1007/s00208-017-1567-6</a>","bibtex":"@article{Januszewski_2017, title={Rational structures on automorphic representations}, volume={370}, DOI={<a href=\"https://doi.org/10.1007/s00208-017-1567-6\">10.1007/s00208-017-1567-6</a>}, number={3–4}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Januszewski, Fabian}, year={2017}, pages={1805–1881} }","short":"F. Januszewski, Mathematische Annalen 370 (2017) 1805–1881.","mla":"Januszewski, Fabian. “Rational Structures on Automorphic Representations.” <i>Mathematische Annalen</i>, vol. 370, no. 3–4, Springer Science and Business Media LLC, 2017, pp. 1805–81, doi:<a href=\"https://doi.org/10.1007/s00208-017-1567-6\">10.1007/s00208-017-1567-6</a>."},"page":"1805-1881","intvolume":"       370","date_updated":"2024-04-03T17:12:59Z","publisher":"Springer Science and Business Media LLC","author":[{"first_name":"Fabian","full_name":"Januszewski, Fabian","id":"81636","last_name":"Januszewski"}],"date_created":"2024-04-03T16:54:45Z","volume":370,"title":"Rational structures on automorphic representations","doi":"10.1007/s00208-017-1567-6"},{"publication":"Annales mathématiques du Québec; Special Issue in Honor of Glenn Stevens","type":"journal_article","status":"public","user_id":"81636","_id":"53188","extern":"1","language":[{"iso":"eng"}],"keyword":["General Mathematics"],"article_type":"original","issue":"2","publication_identifier":{"issn":["2195-4755","2195-4763"]},"publication_status":"published","intvolume":"        40","page":"453-489","citation":{"ieee":"F. Januszewski, “p-adic L-functions for Rankin–Selberg convolutions over number fields,” <i>Annales mathématiques du Québec; Special Issue in Honor of Glenn Stevens</i>, vol. 40, no. 2, pp. 453–489, 2016, doi: <a href=\"https://doi.org/10.1007/s40316-016-0061-y\">10.1007/s40316-016-0061-y</a>.","chicago":"Januszewski, Fabian. “P-Adic L-Functions for Rankin–Selberg Convolutions over Number Fields.” <i>Annales Mathématiques Du Québec; Special Issue in Honor of Glenn Stevens</i> 40, no. 2 (2016): 453–89. <a href=\"https://doi.org/10.1007/s40316-016-0061-y\">https://doi.org/10.1007/s40316-016-0061-y</a>.","ama":"Januszewski F. p-adic L-functions for Rankin–Selberg convolutions over number fields. <i>Annales mathématiques du Québec; Special Issue in Honor of Glenn Stevens</i>. 2016;40(2):453-489. doi:<a href=\"https://doi.org/10.1007/s40316-016-0061-y\">10.1007/s40316-016-0061-y</a>","apa":"Januszewski, F. (2016). p-adic L-functions for Rankin–Selberg convolutions over number fields. <i>Annales Mathématiques Du Québec; Special Issue in Honor of Glenn Stevens</i>, <i>40</i>(2), 453–489. <a href=\"https://doi.org/10.1007/s40316-016-0061-y\">https://doi.org/10.1007/s40316-016-0061-y</a>","short":"F. Januszewski, Annales Mathématiques Du Québec; Special Issue in Honor of Glenn Stevens 40 (2016) 453–489.","mla":"Januszewski, Fabian. “P-Adic L-Functions for Rankin–Selberg Convolutions over Number Fields.” <i>Annales Mathématiques Du Québec; Special Issue in Honor of Glenn Stevens</i>, vol. 40, no. 2, Springer Science and Business Media LLC, 2016, pp. 453–89, doi:<a href=\"https://doi.org/10.1007/s40316-016-0061-y\">10.1007/s40316-016-0061-y</a>.","bibtex":"@article{Januszewski_2016, title={p-adic L-functions for Rankin–Selberg convolutions over number fields}, volume={40}, DOI={<a href=\"https://doi.org/10.1007/s40316-016-0061-y\">10.1007/s40316-016-0061-y</a>}, 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} }"},"year":"2016","volume":40,"date_created":"2024-04-03T16:54:10Z","author":[{"first_name":"Fabian","full_name":"Januszewski, Fabian","id":"81636","last_name":"Januszewski"}],"date_updated":"2024-04-03T17:18:24Z","publisher":"Springer Science and Business Media LLC","doi":"10.1007/s40316-016-0061-y","title":"p-adic L-functions for Rankin–Selberg convolutions over number fields"},{"publication":"arXiv:1604.04253","type":"preprint","status":"public","abstract":[{"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.","lang":"eng"}],"user_id":"81636","_id":"53196","external_id":{"arxiv":["1604.04253"]},"language":[{"iso":"eng"}],"publication_status":"submitted","page":"65","citation":{"ieee":"F. Januszewski, “On Period Relations for Automorphic L-functions II,” <i>arXiv:1604.04253</i>. .","chicago":"Januszewski, Fabian. “On Period Relations for Automorphic L-Functions II.” <i>ArXiv:1604.04253</i>, n.d.","ama":"Januszewski F. On Period Relations for Automorphic L-functions II. <i>arXiv:160404253</i>.","apa":"Januszewski, F. (n.d.). On Period Relations for Automorphic L-functions II. In <i>arXiv:1604.04253</i>.","bibtex":"@article{Januszewski, title={On Period Relations for Automorphic L-functions II}, journal={arXiv:1604.04253}, author={Januszewski, Fabian} }","short":"F. Januszewski, ArXiv:1604.04253 (n.d.).","mla":"Januszewski, Fabian. “On Period Relations for Automorphic L-Functions II.” <i>ArXiv:1604.04253</i>."},"year":"2016","date_created":"2024-04-03T17:13:55Z","author":[{"first_name":"Fabian","id":"81636","full_name":"Januszewski, Fabian","last_name":"Januszewski"}],"date_updated":"2024-04-03T17:14:52Z","title":"On Period Relations for Automorphic L-functions II"},{"title":"On Deligne's Conjecture on Special Values of L-functions","language":[{"iso":"eng"}],"date_updated":"2025-03-28T08:42:12Z","_id":"59180","author":[{"first_name":"Fabian","id":"81636","full_name":"Januszewski, Fabian","last_name":"Januszewski","orcid":"0000-0002-3184-237X"}],"user_id":"81636","date_created":"2025-03-28T08:41:22Z","year":"2015","citation":{"ieee":"F. Januszewski, <i>On Deligne’s Conjecture on Special Values of L-functions</i>. 2015.","chicago":"Januszewski, Fabian. <i>On Deligne’s Conjecture on Special Values of L-Functions</i>, 2015.","ama":"Januszewski F. <i>On Deligne’s Conjecture on Special Values of L-Functions</i>.; 2015.","apa":"Januszewski, F. (2015). <i>On Deligne’s Conjecture on Special Values of L-functions</i>.","short":"F. Januszewski, On Deligne’s Conjecture on Special Values of L-Functions, 2015.","bibtex":"@book{Januszewski_2015, title={On Deligne’s Conjecture on Special Values of L-functions}, author={Januszewski, Fabian}, year={2015} }","mla":"Januszewski, Fabian. <i>On Deligne’s Conjecture on Special Values of L-Functions</i>. 2015."},"status":"public","type":"habilitation"},{"citation":{"apa":"Januszewski, F. (2014). Algebraic Characters of Harish-Chandra modules. <i>Journal of Lie Theory</i>, <i>24</i>, 1161–1206.","short":"F. Januszewski, Journal of Lie Theory 24 (2014) 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} }","mla":"Januszewski, Fabian. “Algebraic Characters of Harish-Chandra Modules.” <i>Journal of Lie Theory</i>, vol. 24, Heldermann Verlag, 2014, pp. 1161–206.","ama":"Januszewski F. Algebraic Characters of Harish-Chandra modules. <i>Journal of Lie Theory</i>. 2014;24:1161-1206.","chicago":"Januszewski, Fabian. “Algebraic Characters of Harish-Chandra Modules.” <i>Journal of Lie Theory</i> 24 (2014): 1161–1206.","ieee":"F. Januszewski, “Algebraic Characters of Harish-Chandra modules,” <i>Journal of Lie Theory</i>, vol. 24, pp. 1161–1206, 2014."},"intvolume":"        24","page":"1161-1206","year":"2014","publication_status":"published","publication_identifier":{"issn":["0949–5932"]},"title":"Algebraic Characters of Harish-Chandra modules","author":[{"first_name":"Fabian","last_name":"Januszewski","id":"81636","full_name":"Januszewski, Fabian"}],"date_created":"2024-04-03T16:53:37Z","volume":24,"publisher":"Heldermann Verlag","date_updated":"2024-04-03T17:04:05Z","status":"public","type":"journal_article","publication":"Journal of Lie Theory","language":[{"iso":"eng"}],"extern":"1","article_type":"original","user_id":"81636","_id":"53187"},{"publication":"International Mathematics Research Notices","keyword":["General Mathematics"],"language":[{"iso":"eng"}],"year":"2014","issue":"17","title":"On p-adic L-functions for GL(n) × GL (n-1) over totally real fields","publisher":"Oxford University Press (OUP)","date_created":"2024-04-03T16:48:18Z","status":"public","type":"journal_article","article_type":"original","extern":"1","_id":"53185","user_id":"81636","page":"7884-7949","intvolume":"      2015","citation":{"chicago":"Januszewski, Fabian. “On P-Adic L-Functions for GL(n) × GL (n-1) over Totally Real Fields.” <i>International Mathematics Research Notices</i> 2015, no. 17 (2014): 7884–7949. <a href=\"https://doi.org/10.1093/imrn/rnu181\">https://doi.org/10.1093/imrn/rnu181</a>.","ieee":"F. Januszewski, “On p-adic L-functions for GL(n) × GL (n-1) over totally real fields,” <i>International Mathematics Research Notices</i>, vol. 2015, no. 17, pp. 7884–7949, 2014, doi: <a href=\"https://doi.org/10.1093/imrn/rnu181\">10.1093/imrn/rnu181</a>.","ama":"Januszewski F. On p-adic L-functions for GL(n) × GL (n-1) over totally real fields. <i>International Mathematics Research Notices</i>. 2014;2015(17):7884-7949. doi:<a href=\"https://doi.org/10.1093/imrn/rnu181\">10.1093/imrn/rnu181</a>","short":"F. Januszewski, International Mathematics Research Notices 2015 (2014) 7884–7949.","bibtex":"@article{Januszewski_2014, title={On p-adic L-functions for GL(n) × GL (n-1) over totally real fields}, volume={2015}, DOI={<a href=\"https://doi.org/10.1093/imrn/rnu181\">10.1093/imrn/rnu181</a>}, number={17}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Januszewski, Fabian}, year={2014}, pages={7884–7949} }","mla":"Januszewski, Fabian. “On P-Adic L-Functions for GL(n) × GL (n-1) over Totally Real Fields.” <i>International Mathematics Research Notices</i>, vol. 2015, no. 17, Oxford University Press (OUP), 2014, pp. 7884–949, doi:<a href=\"https://doi.org/10.1093/imrn/rnu181\">10.1093/imrn/rnu181</a>.","apa":"Januszewski, F. (2014). On p-adic L-functions for GL(n) × GL (n-1) over totally real fields. <i>International Mathematics Research Notices</i>, <i>2015</i>(17), 7884–7949. <a href=\"https://doi.org/10.1093/imrn/rnu181\">https://doi.org/10.1093/imrn/rnu181</a>"},"publication_identifier":{"issn":["1073-7928","1687-0247"]},"publication_status":"published","doi":"10.1093/imrn/rnu181","date_updated":"2024-04-03T17:12:38Z","volume":2015,"author":[{"last_name":"Januszewski","full_name":"Januszewski, Fabian","id":"81636","first_name":"Fabian"}]},{"abstract":[{"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.","lang":"eng"}],"status":"public","type":"preprint","publication":"arXiv:1310.6884","extern":"1","language":[{"iso":"eng"}],"external_id":{"arxiv":["1310.6884"]},"_id":"53186","user_id":"81636","year":"2013","citation":{"apa":"Januszewski, F. (n.d.). Algebraic Characters of Harish-Chandra modules and arithmeticity. In <i>arXiv:1310.6884</i>.","short":"F. Januszewski, ArXiv:1310.6884 (n.d.).","mla":"Januszewski, Fabian. “Algebraic Characters of Harish-Chandra Modules and Arithmeticity.” <i>ArXiv:1310.6884</i>.","bibtex":"@article{Januszewski, title={Algebraic Characters of Harish-Chandra modules and arithmeticity}, journal={arXiv:1310.6884}, author={Januszewski, Fabian} }","ama":"Januszewski F. Algebraic Characters of Harish-Chandra modules and arithmeticity. <i>arXiv:13106884</i>.","ieee":"F. Januszewski, “Algebraic Characters of Harish-Chandra modules and arithmeticity,” <i>arXiv:1310.6884</i>. .","chicago":"Januszewski, Fabian. “Algebraic Characters of Harish-Chandra Modules and Arithmeticity.” <i>ArXiv:1310.6884</i>, n.d."},"publication_status":"draft","title":"Algebraic Characters of Harish-Chandra modules and arithmeticity","date_updated":"2024-04-03T17:12:17Z","author":[{"first_name":"Fabian","full_name":"Januszewski, Fabian","id":"81636","last_name":"Januszewski"}],"date_created":"2024-04-03T16:49:36Z"},{"type":"journal_article","status":"public","user_id":"81636","_id":"53184","extern":"1","article_type":"original","publication_identifier":{"issn":["0075-4102","1435-5345"]},"publication_status":"published","intvolume":"      2011","page":"1-45","citation":{"short":"F. Januszewski, Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2011 (2010) 1–45.","bibtex":"@article{Januszewski_2010, title={Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields}, volume={2011}, DOI={<a href=\"https://doi.org/10.1515/crelle.2011.018\">10.1515/crelle.2011.018</a>}, 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} }","mla":"Januszewski, Fabian. “Modular Symbols for Reductive Groups and P-Adic Rankin–Selberg Convolutions over Number Fields.” <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, vol. 2011, no. 653, Walter de Gruyter GmbH, 2010, pp. 1–45, doi:<a href=\"https://doi.org/10.1515/crelle.2011.018\">10.1515/crelle.2011.018</a>.","apa":"Januszewski, F. (2010). Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields. <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, <i>2011</i>(653), 1–45. <a href=\"https://doi.org/10.1515/crelle.2011.018\">https://doi.org/10.1515/crelle.2011.018</a>","ama":"Januszewski F. Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields. <i>Journal für die reine und angewandte Mathematik (Crelles Journal)</i>. 2010;2011(653):1-45. doi:<a href=\"https://doi.org/10.1515/crelle.2011.018\">10.1515/crelle.2011.018</a>","chicago":"Januszewski, Fabian. “Modular Symbols for Reductive Groups and P-Adic Rankin–Selberg Convolutions over Number Fields.” <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i> 2011, no. 653 (2010): 1–45. <a href=\"https://doi.org/10.1515/crelle.2011.018\">https://doi.org/10.1515/crelle.2011.018</a>.","ieee":"F. Januszewski, “Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields,” <i>Journal für die reine und angewandte Mathematik (Crelles Journal)</i>, vol. 2011, no. 653, pp. 1–45, 2010, doi: <a href=\"https://doi.org/10.1515/crelle.2011.018\">10.1515/crelle.2011.018</a>."},"volume":2011,"author":[{"last_name":"Januszewski","id":"81636","full_name":"Januszewski, Fabian","first_name":"Fabian"}],"date_updated":"2024-04-03T17:13:10Z","doi":"10.1515/crelle.2011.018","publication":"Journal für die reine und angewandte Mathematik (Crelles Journal)","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Mathematics"],"issue":"653","year":"2010","date_created":"2024-04-03T16:47:27Z","publisher":"Walter de Gruyter GmbH","title":"Modular symbols for reductive groups and p-adic Rankin–Selberg convolutions over number fields"},{"type":"dissertation","status":"public","_id":"53183","user_id":"81636","language":[{"iso":"ger"}],"extern":"1","publication_status":"published","publication_identifier":{"isbn":["978-3-86644-373-0"]},"place":"Karlsruhe","year":"2009","citation":{"ieee":"F. Januszewski, <i>p-adische Rankin-Selberg-Faltungen</i>. Karlsruhe: KIT Scientific Publishing, 2009, 2009.","chicago":"Januszewski, Fabian. <i>p-adische Rankin-Selberg-Faltungen</i>. Karlsruhe: KIT Scientific Publishing, 2009, 2009. <a href=\"https://doi.org/10.5445/KSP/1000011510\">https://doi.org/10.5445/KSP/1000011510</a>.","ama":"Januszewski F. <i>p-adische Rankin-Selberg-Faltungen</i>. KIT Scientific Publishing, 2009; 2009. doi:<a href=\"https://doi.org/10.5445/KSP/1000011510\">10.5445/KSP/1000011510</a>","apa":"Januszewski, F. (2009). <i>p-adische Rankin-Selberg-Faltungen</i>. KIT Scientific Publishing, 2009. <a href=\"https://doi.org/10.5445/KSP/1000011510\">https://doi.org/10.5445/KSP/1000011510</a>","mla":"Januszewski, Fabian. <i>p-adische Rankin-Selberg-Faltungen</i>. KIT Scientific Publishing, 2009, 2009, doi:<a href=\"https://doi.org/10.5445/KSP/1000011510\">10.5445/KSP/1000011510</a>.","bibtex":"@book{Januszewski_2009, place={Karlsruhe}, title={p-adische Rankin-Selberg-Faltungen}, DOI={<a href=\"https://doi.org/10.5445/KSP/1000011510\">10.5445/KSP/1000011510</a>}, publisher={KIT Scientific Publishing, 2009}, author={Januszewski, Fabian}, year={2009} }","short":"F. Januszewski, p-adische Rankin-Selberg-Faltungen, KIT Scientific Publishing, 2009, Karlsruhe, 2009."},"page":"\tVI, 92 S.","publisher":"KIT Scientific Publishing, 2009","date_updated":"2024-04-03T17:05:30Z","author":[{"last_name":"Januszewski","full_name":"Januszewski, Fabian","id":"81636","first_name":"Fabian"}],"date_created":"2024-04-03T16:43:36Z","title":"p-adische Rankin-Selberg-Faltungen","doi":"10.5445/KSP/1000011510"},{"user_id":"81636","_id":"53181","extern":"1","language":[{"iso":"eng"}],"type":"book_chapter","publication":"Information Security and Cryptology – ICISC 2006","status":"public","author":[{"full_name":"Geiselmann, Willi","last_name":"Geiselmann","first_name":"Willi"},{"last_name":"Januszewski","id":"81636","full_name":"Januszewski, Fabian","first_name":"Fabian"},{"first_name":"Hubert","full_name":"Köpfer, Hubert","last_name":"Köpfer"},{"last_name":"Pelzl","full_name":"Pelzl, Jan","first_name":"Jan"},{"last_name":"Steinwandt","full_name":"Steinwandt, Rainer","first_name":"Rainer"}],"date_created":"2024-04-03T16:36:47Z","publisher":"Springer Berlin Heidelberg","date_updated":"2024-04-03T17:11:55Z","doi":"10.1007/11927587_12","title":"A Simpler Sieving Device: Combining ECM and TWIRL","publication_status":"published","publication_identifier":{"issn":["0302-9743","1611-3349"],"isbn":["9783540491125","9783540491149"]},"citation":{"apa":"Geiselmann, W., Januszewski, F., Köpfer, H., Pelzl, J., &#38; Steinwandt, R. (2006). A Simpler Sieving Device: Combining ECM and TWIRL. In <i>Information Security and Cryptology – ICISC 2006</i>. Springer Berlin Heidelberg. <a href=\"https://doi.org/10.1007/11927587_12\">https://doi.org/10.1007/11927587_12</a>","mla":"Geiselmann, Willi, et al. “A Simpler Sieving Device: Combining ECM and TWIRL.” <i>Information Security and Cryptology – ICISC 2006</i>, Springer Berlin Heidelberg, 2006, doi:<a href=\"https://doi.org/10.1007/11927587_12\">10.1007/11927587_12</a>.","bibtex":"@inbook{Geiselmann_Januszewski_Köpfer_Pelzl_Steinwandt_2006, place={Berlin, Heidelberg}, title={A Simpler Sieving Device: Combining ECM and TWIRL}, DOI={<a href=\"https://doi.org/10.1007/11927587_12\">10.1007/11927587_12</a>}, 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} }","short":"W. Geiselmann, F. Januszewski, H. Köpfer, J. Pelzl, R. Steinwandt, in: Information Security and Cryptology – ICISC 2006, Springer Berlin Heidelberg, Berlin, Heidelberg, 2006.","ieee":"W. Geiselmann, F. Januszewski, H. Köpfer, J. Pelzl, and R. Steinwandt, “A Simpler Sieving Device: Combining ECM and TWIRL,” in <i>Information Security and Cryptology – ICISC 2006</i>, Berlin, Heidelberg: Springer Berlin Heidelberg, 2006.","chicago":"Geiselmann, Willi, Fabian Januszewski, Hubert Köpfer, Jan Pelzl, and Rainer Steinwandt. “A Simpler Sieving Device: Combining ECM and TWIRL.” In <i>Information Security and Cryptology – ICISC 2006</i>. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. <a href=\"https://doi.org/10.1007/11927587_12\">https://doi.org/10.1007/11927587_12</a>.","ama":"Geiselmann W, Januszewski F, Köpfer H, Pelzl J, Steinwandt R. A Simpler Sieving Device: Combining ECM and TWIRL. In: <i>Information Security and Cryptology – ICISC 2006</i>. Springer Berlin Heidelberg; 2006. doi:<a href=\"https://doi.org/10.1007/11927587_12\">10.1007/11927587_12</a>"},"place":"Berlin, Heidelberg","year":"2006"}]