Joint approximation by non-linear shifts of Dirichlet L-functions

被引：1

作者：

Laurincikas, Antanas ^{[1
]}

Siauciunas, Darius ^{[2
]}

机构：

[1] Vilnius Univ, Fac Math & Informat, Inst Math, Naugarduko Str 24, LT-03225 Vilnius, Lithuania

[2] Vilnius Univ, Siauliai Acad, Inst Reg Dev, P Visinskio Str 25, LT-76351 Vilnius, Lithuania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 516卷 / 02期

关键词：

Dirichlet L-function; Gram function; Riemann zeta-function; Voronin universality theorem; ZEROS;

D O I：

10.1016/j.jmaa.2022.126524

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, a theorem on the simultaneous approximation of a collection of analytic functions by non-linear shifts of Dirichlet L-functions (L(s + il(tau)(alpha 1), chi(1)),...,L(s + it(tau)(alpha tau), chi(r))) is obtained. Here t(tau) the Gram function, alpha(1),..., alpha(r) are fixed different positive numbers, and chi(1),...,chi(r) are arbitrary Dirichlet characters. Also, an example of approximation by a certain composition of the above shifts is given. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：14

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