On the Functional Independence of the Riemann Zeta-Function

Abstract

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.

Keywords

• functional independence
• Riemann zeta-function
• universality of zeta-functions