A note on the real projection of the zeros of partial sums of Riemann zeta function

被引：11

作者：

Dubon, E. ^{[1
]}

Mora, G. ^{[1
]}

Sepulcre, J. M. ^{[1
]}

Ubeda, J. I. ^{[1
]}

Vidal, T. ^{[1
]}

机构：

[1] Univ Alicante, Dept Math Anal, E-03080 Alicante, Spain

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2014年 / 108卷 / 02期

关键词：

Zeros of entire functions; Exponential polynomials; Almost-periodic functions; Partial sums of the Riemann zeta function; EXPONENTIAL POLYNOMIALS;

D O I：

10.1007/s13398-012-0094-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper proves that the real projection of each simple zero of any partial sum of the Riemann zeta function , is an accumulation point of the set {Res : zeta (n) (s) = 0}.

引用

页码：317 / 333

页数：17

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