A Selberg identity for the Shimura lift

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.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2024-09-16
DOI
https://doi.org/10.1112/blms.13151
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.00
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article

A Selberg identity for the Shimura lift

Hui Xue
Bulletin of the London Mathematical Society
Advanced Algebra and Geometry
article

A Selberg identity for the Shimura lift

Hui Xue
article en

Abstract

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.

Bulletin of the London Mathematical SocietyVol. 56(11)
Clemson University (US)
Openalex Percentile: Top 73%
Advanced Algebra and Geometry
DOIOpen Access PDFOpenAlex
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A Selberg identity for the Shimura lift — Hui Xue · Bulletin of the London Mathematical Society (2024) | TGRS Research Map | TGRS