Results on value distribution of L-functions

被引：14

作者：

Li, Xiao-Min ^{[1
]}

Yi, Hong-Xun ^{[2
]}

机构：

[1] Ocean Univ China, Dept Math, Qingdao 266100, Shandong, Peoples R China

[2] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2013年 / 286卷 / 13期

关键词：

Riemann zeta functions; L-functions; shared values; uniqueness theorems;

D O I：

10.1002/mana.201200196

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We will establish a theorem concerning value distribution of L-functions in the Selberg class, which shows how an L-function and a meromorphic function are uniquely determined by their c-values and which, as a consequence, proves a result on the uniqueness of the Riemann zeta function. The results in this paper also extend the corresponding ones in Li 6. (C) 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1326 / 1336

页数：11

共 13 条

[1] NON-ARCHIMEDIAN ANALYTIC FUNCTIONS TAKING SAME VALUES AT SAME POINTS [J].

ADAMS, WW ;

STRAUS, EG .

ILLINOIS JOURNAL OF MATHEMATICS, 1971, 15 (03) :418-&

[2]

Bombieri E, 1998, ACTA ARITH, V83, P271

[3]

GUNDERSEN G. G., 1992, Complex Variables Theory Appl., V20, P99

[4]

HAYMAN WK, 1964, MEROMORPHIC FUNCTION

[5]

Laine I., 1993, Nevanlinna theory and complex differential equations

[6]

Li BQ, 2010, P AM MATH SOC, V138, P2071

[7] On some new properties of the gamma function and the Riemann zeta function [J].

Liao, LW ;

Yang, CC .

MATHEMATISCHE NACHRICHTEN, 2003, 257 :59-66

[8] An unequivocal clause in the theory of meromorphic function [J].

Nevanlinna, R .

ACTA MATHEMATICA, 1927, 48 (3-4) :367-391

[9]

Ngoan V., 1965, Akad. Nauk. Arjman. SSR. Doki, V41, P272

[10]

Selberg A., 1991, Collected Papers, VII, P47

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