The joint distribution of periodic zeta-functions

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A survey on the theory of universality for zeta and $L$-functions (2014, background): “The essential point of the proof of this theorem is the fact that the elements of the set {log(n + α) | n ∈ N0} ∪ {log p | p : prime} are linearly independent over Q. Mishou’s theorem was generalized to the periodic case by Kačinskaitė and Laurinčikas [58]5.”