Non-vanishing of Maass form L-functions of cubic level at the central point

被引：0

作者：

Wang, Hui ^{[1
]}

Wang, Xin ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

来源：

FORUM MATHEMATICUM | 2025年

关键词：

Maass cusp newforms; L-functions; non-vanishing; mollifiers; Kuznetsov trace formula; AUTOMORPHIC L-FUNCTIONS; CENTRAL L-VALUES; RANK;

D O I：

10.1515/forum-2022-0362

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

With the method of mollification and the simple Kuznetsov trace formula, we study the central L-values of GL 2 Maass forms of cubic level and establish a positive-proportional non-vanishing result in the spectral aspect in short intervals.

引用

页数：25

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