Joint universality for Lerch zeta-functions

For $0<α, λ\leq 1$, the Lerch zeta-function is defined by $L(s;α, λ)$$:= \sum_{n=0}^\infty e^{2πiλn} (n+α)^{-s}$, where $σ>1$. In this paper, we prove joint universality for Lerch zeta-functions with distinct $λ_1,\ldots,λ_m$ and transcendental $α$.

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