Wide moments of L-functions II: dirichlet L-functions

被引：1

作者：

Nordentoft, Asbjorn Christian ^{[1
]}

机构：

[1] Inst Galilee, LAGA, 99 Ave Jean Baptiste Clement, F-93430 Villetaneuse, France

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2023年 / 74卷 / 01期

关键词：

ZETA-FUNCTIONS; VALUES;

D O I：

10.1093/qmath/haac026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study wide moments of Dirichlet L-functions using analytic properties of the Lerch zeta function. Among other things we obtain an asymptotic expansion of wide moments of Dirichlet L-functions (with arbitrary twists) extending results of Heath-Brown. We also give applications to non-vanishing.

引用

页码：365 / 387

页数：23

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