Skip to main content

Research Repository

Advanced Search

On the standard L-function attached to quaternionic modular forms

Bouganis, A.

On the standard L-function attached to quaternionic modular forms Thumbnail


Authors



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 Mar 28, 2024
Journal Journal of Number Theory
Print ISSN 0022-314X
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 222
Pages 293-345
DOI https://doi.org/10.1016/j.jnt.2020.10.024

Files




You might also like



Downloadable Citations