Algebraicity of L-values attached to Quaternionic Modular Forms

Bouganis, A.; Jin, Y.

doi:10.4153/s0008414x23000184

Algebraicity of L-values attached to Quaternionic Modular Forms

Bouganis, A.; Jin, Y.

Authors

Professor Athanasios Bouganis athanasios.bouganis@durham.ac.uk
Professor

Yubo Jin yubo.jin@durham.ac.uk
PGR Student Doctor of Philosophy

Abstract

In this paper we prove the algebraicity of some L-values attached to quaternionic modular forms. We follow the rather well established path of the doubling method. Our main contribution is that we include the case where the corresponding symmetric space is of non-tube type. We make various aspects very explicit such as, the doubling embedding, coset decomposition, and the definition of algebraicity of modular forms via CM points.

Citation

Bouganis, A., & Jin, Y. (2023). Algebraicity of L-values attached to Quaternionic Modular Forms. Canadian Journal of Mathematics, https://doi.org/10.4153/s0008414x23000184

Journal Article Type	Article
Acceptance Date	Mar 13, 2023
Online Publication Date	Mar 30, 2023
Publication Date	2023
Deposit Date	Jun 9, 2022
Publicly Available Date	Mar 14, 2023
Journal	Canadian Journal of Mathematics
Print ISSN	0008-414X
Electronic ISSN	1496-4279
Publisher	Cambridge University Press
Peer Reviewed	Peer Reviewed
DOI	https://doi.org/10.4153/s0008414x23000184
Public URL	https://durham-repository.worktribe.com/output/1203227

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

Copyright Statement
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.