The mellin transform of Hardy's function is entire

被引：1

作者：

Jutila, M. ^{[1
]}

机构：

[1] Univ Turku, SF-20500 Turku, Finland

来源：

MATHEMATICAL NOTES | 2010年 / 88卷 / 3-4期

关键词：

zeta function; Mellin transform; Hardy's function; holomorphic function; entire function; analytic continuation;

D O I：

10.1134/S0001434610090348

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that an appropriately modified Mellin transform of the Hardy function Z(x) Is en entire function. The proof is based on the fact that the function (2(1-s) - 1)zeta(s) is integer.

引用

页码：612 / 616

页数：5

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