On the Functional Independence of the Riemann Zeta-Function

In 1973, Voronin proved the functional independence of the Riemann zeta-function ζ(s), i.e., that ζ(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.

Bibliographic Details
Main Authors: Virginija Garbaliauskienė, Renata Macaitienė, Darius Šiaučiūnas
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2023-03-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://limes.vgtu.lt/index.php/MMA/article/view/17157