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
收藏
页码：612 / 616
页数：5
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