On the standard L-function attached to quaternionic modular forms

Bouganis, A.

Abstract

In this paper we study the analytic properties of the standard L-function attached to vector valued quaternionic modular forms using the Rankin-Selberg method. This involves the construction of vector valued theta series, which we obtain by applying some differential operators on Jacobi-theta series studied by Krieg. Such differential operators are obtained from the Howe-Weyl duality for the pair Spn(C) × GL2n(C).

Citation

Bouganis, A. (2021). On the standard L-function attached to quaternionic modular forms. Journal of Number Theory, 222, 293-345. https://doi.org/10.1016/j.jnt.2020.10.024

• Journal Article Type: Article
• Acceptance Date: Oct 26, 2020
• Online Publication Date: Dec 30, 2020
• Publication Date: 2021-05
• Deposit Date: Dec 5, 2019
• Publicly Available Date: Dec 30, 2021
• Journal: Journal of Number Theory
• Print ISSN: 0022-314X
• Electronic ISSN: 1096-1658
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 222
• Pages: 293-345
• DOI: https://doi.org/10.1016/j.jnt.2020.10.024
• Public URL: https://durham-repository.worktribe.com/output/1312454