Self-approximation for the Riemann zeta function

Takashi Nakamura, Łukasz Pańkowski

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

Keywords


hybrid universality, the Riemann zeta function, self-approximation



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