The multiple Dirichlet product and the multiple Dirichlet series

被引：2

作者：

Onozuka, Tomokazu ^{[1
]}

机构：

[1] Toyota Technol Inst, Tempaku Ku, 2-12-1 Hisakata, Nagoya, Aichi 4688511, Japan

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2017年 / 13卷 / 08期

关键词：

Multiple zeta function; multiple zeta star function; multiple Dirichlet series; multiple Dirichlet product; multiple Dirichlet convolution; zero-free region; ANALYTIC CONTINUATION;

D O I：

10.1142/S1793042117501184

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

First, we define the multiple Dirichlet product and study the properties of it. From those properties, we obtain a zero-free region of a multiple Dirichlet series and a multiple Dirichlet series expression of the reciprocal of a multiple Dirichlet series.

引用

页码：2181 / 2193

页数：13

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