Self-approximation for the Riemann zeta function

Authors

  • Takashi Nakamura Tokyo University of Science
  • Łukasz PaÅ„kowski Adam Mickiewicz University, PoznaÅ„

Keywords:

hybrid universality, the Riemann zeta function, self-approximation

Abstract

In the paper we deal with self-approximation of the Riemann zeta function in the half plane $\Re s>1$ and in the right half of the critical strip. We also prove some results concerning joint universality and joint value-approximation of functions $\zeta(s+\lambda+id\tau)$ and $\zeta(s+i\tau)$. 10.1017/S0004972712000846

Published

2013-04-29

Issue

Section

Articles