On the Functional Independence of the Riemann Zeta-Function

被引：1

作者：

Garbaliauskiene, Virginija ^{[1
]}

Macaitiene, Renata ^{[2
]}

Siauciunas, Darius ^{[2
]}

机构：

[1] Siauliai State Univ Appl Sci, Fac Business & Technol, Ausros Al 40, LT-76241 Shiauliai, Lithuania

[2] Vilnius Univ, Inst Reg Dev, Siauliai Acad, P Visinskio G 25, LT-76153 Shiauliai, Lithuania

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2023年 / 28卷 / 02期

关键词：

functional independence; Riemann zeta-function; universality of zeta-functions; JOINT VALUE-DISTRIBUTION; UNIVERSALITY;

D O I：

10.3846/mma.2023.17157

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1973, Voronin proved the functional independence of the Riemann zeta-function zeta (s), i.e., that zeta(s) and its derivatives do not satisfy a certain equation with continuous functions. In the paper, we obtain a joint version of the Voronin theorem.

引用

页码：352 / 359

页数：8

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