Joint universality for Lerch zeta-functions

Abstract

For $0<\alpha ,\lambda \le 1$, the Lerch zeta-function is defined by $L(s;\alpha ,\lambda )$$:={\sum }_{n=0}^{\infty }{e}^{2\pi i\lambda n}(n+\alpha {)}^{-s}$, where $\sigma >1$. In this paper, we prove joint universality for Lerch zeta-functions with distinct ${\lambda }_1,\dots ,{\lambda }_m$ and transcendental $\alpha$.

arXiv comment8 pages. P.2, L.11--12 are corrected