Algebraicity of L-values attached to Quaternionic Modular Forms

Bouganis, A.; Jin, Y.

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. (2024). Algebraicity of L-values attached to Quaternionic Modular Forms. Canadian Journal of Mathematics, 76(2), 638-679. https://doi.org/10.4153/s0008414x23000184

• Journal Article Type: Article
• Acceptance Date: Mar 13, 2023
• Online Publication Date: Mar 30, 2023
• Publication Date: 2024-04
• 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
• Volume: 76
• Issue: 2
• Pages: 638-679
• DOI: https://doi.org/10.4153/s0008414x23000184
• Public URL: https://durham-repository.worktribe.com/output/1203227