Joint universality for Lerch zeta-functions

摘要

For 0 ＜ α, A ≤ 1, the Lerch zeta-function is defined by L(s;α, λ):= ∑_(n=0)~∞ e~(2πiλn) (n + α)~(-3), where σ ＞ 1. In this paper, we prove joint universality for Lerch zeta-functions with distinct λ_1,…, λ_m and transcendental α.