志村升降机的塞尔伯格特性

IF 0.8 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2024-09-16 DOI:10.1112/blms.13151

Hui Xue

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引用次数: 0

摘要

我们首先证明了归一化 Hecke 特征形式和 theta 函数的 Rankin-Cohen 括号的 Shimura 提升的塞尔伯格型特性。然后，我们讨论它与赫克特征形式相关的 L $L$ 函数中心值不消失的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Selberg identity for the Shimura lift

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 $L$ -functions associated to Hecke eigenforms.

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来源期刊

Bulletin of the London Mathematical Society 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

198

审稿时长

4-8 weeks

期刊介绍： Published by Oxford University Press prior to January 2017: http://blms.oxfordjournals.org/