An estimate for the Dirichlet series in a half-strip in the case of the irregular distribution of exponents. II

被引：3

作者：

Gaisin, A. M. ^{[1
]}

Sergeeva, D. I. ^{[1
]}

机构：

[1] Ctr Comp, Inst Math, Ufa, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2008年 / 49卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

order of the Dirichlet series in a half-strip;

D O I：

10.1007/s11202-008-0023-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Dirichlet series that are convergent only in a half-plane and whose sequence of exponents extends to a "regular" sequence. We establish some unimprovable estimates for the order of the sum of the Dirichlet series in a half-strip whose width depends on the special distribution density of the exponents.

引用

页码：222 / 238

页数：17

共 27 条

[21] Value-distribution of general dirichlet series. II
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[22] Weyl group multiple Dirichlet series II: The stable case
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[23] Weyl group multiple Dirichlet series II: The stable case
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