Work

A Selberg identity for the Shimura lift

Year: 2024

Type: article

Abstract: We first prove a Selberg‐type identity for the Shimura lift of the Rankin–Cohen bracket of a normalized Hecke eigenform and the theta function. We then discuss its relationship with the nonvanishing of central values of ‐functions associated to Hecke eigenforms.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.13151

Author: Hui Xue

Institution: Clemson University

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

OpenAlex ID: W4402822183

FWCI: 0.674

Cites: 16

Cited by: 1

Related to: 10