A converse theorem for double Dirichlet series

Diamantis, Nikolaos; Goldfeld, Dorian

Abstract

We prove that a certain vector valued double Dirichlet series satisfying appropriate functional equations is a Mellin transform of a vector valued metaplectic Eisenstein series. We establish an analogous result for scalar double Dirichlet series of the type studied by Siegel.

Citation

Diamantis, N., & Goldfeld, D. (2011). A converse theorem for double Dirichlet series. American Journal of Mathematics, 133(4), 913-938. https://doi.org/10.1353/ajm.2011.0024

• Journal Article Type: Article
• Publication Date: 2011-08
• Deposit Date: Sep 1, 2023
• Journal: American Journal of Mathematics
• Print ISSN: 0002-9327
• Electronic ISSN: 1080-6377
• Publisher: Johns Hopkins University Press
• Peer Reviewed: Peer Reviewed
• Volume: 133
• Issue: 4
• Pages: 913-938
• DOI: https://doi.org/10.1353/ajm.2011.0024
• Public URL: https://nottingham-repository.worktribe.com/output/23559332
• Publisher URL: https://muse.jhu.edu/article/446366