A modified Möbius μ-function

被引：2
|
作者：
Steuding R. [1 ]
Steuding J. [1 ]
Tóth L. [2 ]
机构：
[1] Department of Mathematics, Würzburg University, 97218 Würzburg, Am Hubland
[2] Department of Mathematics, University of Pécs, 7624 Pécs
来源：
Rendiconti del Circolo Matematico di Palermo | 2011年 / 60卷 / 1-2期
关键词：
Infinitary convolution; Möbius; μ-function; Riemann hypothesis; Riemann zeta-function;
D O I：
10.1007/s12215-011-0022-x
中图分类号：
学科分类号：
摘要：
We investigate a modified Möbius μ-function which is related to an infinite product of shifted Riemann zeta-functions. We prove conditional and unconditional upper and lower bounds for its summatory function, and, finally, we discuss relations with Riemann's hypothesis. © 2011 Springer-Verlag.
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页码：13 / 21
页数：8
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