On the zeros of generalized Hurwitz zeta functions

被引：4

作者：

Chatterjee, T. ^{[1
]}

Gun, S. ^{[2
]}

机构：

[1] Indian Inst Technol, Dept Math, Rupnagar 140001, Punjab, India

[2] Inst Math Sci, Madras 600113, Tamil Nadu, India

来源：

JOURNAL OF NUMBER THEORY | 2014年 / 145卷

关键词：

Generalized Hurwitz zeta functions; Kronecker theorem;

D O I：

10.1016/j.jnt.2014.06.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we prove the existence of infinitely many zeros of certain generalized Hurwitz zeta functions in the domain of absolute convergence. This is a generalization of a classical problem of Davenport, Heilbronn and Cassels about the zeros of the Hurwitz zeta function. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：352 / 361

页数：10

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[2]

Booker A. R., ARXIV13066362

[3]

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CHANDRASEKHARAN K, 1968, GRUNDLEHREN MATH WIS, V148

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