The joint universality of Dirichlet L-functions and Lerch zeta-functions

被引：1

作者：

Laurincikas, A. ^{[1
]}

Macaitiene, R. ^{[2
]}

机构：

[1] Vilnius Univ, Vilnius, Lithuania

[2] Siauliai Univ, Shiauliai, Lithuania

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2014年 / 55卷 / 04期

关键词：

Lerch zeta-function; Dirichlet L-function; limit theorem; space of analytic functions; Haar measure; universality;

D O I：

10.1134/S0037446614040077

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a Voronin-type joint universality theorem on approximating analytic functions by the translations of Dirichlet L-functions and Lerch zeta-functions.

引用

页码：645 / 657

页数：13

共 31 条

[1]

[Anonymous], 1996, MATH ITS APPL

[2]

[Anonymous], AM MATH SOC COLL PUB

[3] A JOINT UNIVERSALITY THEOREM FOR DIRICHLET L-FUNCTIONS [J].

BAGCHI, B .

MATHEMATISCHE ZEITSCHRIFT, 1982, 181 (03) :319-334

[4]

Bagchi B, 1981, The Statistical Behaviour and Universality Properties of the Riemann Zeta Function and other Allied Dirichlet Series

[5]

Billingsley Patrick, 1999, Convergence of probability measures, V2nd

[6]

Chandrashekhar K., 1975, ARITHMETIC FUNCTIONS

[7]

Cramer H., 1967, STATIONARY RELATED S

[8]

Davenport H., 2000, MULTIPLICATIVE NUMBE

[9]

Gonek S.M., 1979, Thesis

[10] Universal families and hypercyclic operators [J].

Grosse-Erdmann, KG .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 36 (03) :345-381

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