Zero-free regions for spectral averages of Hecke L-functions

被引：1

作者：

Ganguly, Satadal ^{[1
]}

Sandeep, E. M. ^{[2
]}

机构：

[1] Indian Stat Inst, 203 B T Rd, Kolkata 700108, West Bengal, India

[2] Indian Stat Inst, North East Ctr, Solmara PO, Tezpur 784501, Assam, India

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2023年 / 19卷 / 09期

关键词：

Hecke L-functions; non-vanishing; critical strip; integral weight;

D O I：

10.1142/S1793042123501051

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain an explicit zero-free region for a weighted sum of L-functions over the orthogonal basis of Hecke eigen cusp forms of a large integral weight for the full modular group. We also estimate the number of such forms whose L value does not vanish at a given point inside this zero-free region.

引用

页码：2151 / 2162

页数：12

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