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Algebraicity of special L-values attached to Siegel-Jacobi modular forms

Bouganis, A.; Marzec, J.

Algebraicity of special L-values attached to Siegel-Jacobi modular forms Thumbnail


Authors

J. Marzec



Abstract

n this work we obtain algebraicity results on special L-values attached to Siegel–Jacobi modular forms. Our method relies on a generalization of the doubling method to the Jacobi group obtained in our previous work, and on introducing a notion of near holomorphy for Siegel–Jacobi modular forms. Some of our results involve also holomorphic projection, which we obtain by using Siegel–Jacobi Poincaré series of exponential type.

Citation

Bouganis, A., & Marzec, J. (2021). Algebraicity of special L-values attached to Siegel-Jacobi modular forms. manuscripta mathematica, 166(3-4), 359-402. https://doi.org/10.1007/s00229-020-01243-w

Journal Article Type Article
Acceptance Date Sep 7, 2020
Online Publication Date Sep 22, 2020
Publication Date 2021-11
Deposit Date Nov 29, 2018
Publicly Available Date Oct 7, 2020
Journal manuscripta mathematica
Print ISSN 0025-2611
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 166
Issue 3-4
Pages 359-402
DOI https://doi.org/10.1007/s00229-020-01243-w

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Advance online version This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.





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