On mixed joint discrete universality for a class of zeta-functions

2016/11/24 by Kačinskaitė, Roma, Matsumoto, Kohji
#11M06 #11M36 #11M41 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1611.08126

Abstract

We prove a mixed joint discrete universality theorem for a Matsumoto zeta-function φ(s) (belonging to the Steuding subclass) and a periodic Hurwitz zeta-function ζ(s,α;\mathfrakB). For this purpose, certain independence condition for the parameter α and the minimal step of discrete shifts of these functions is assumed. This paper is a continuation of authors' works [12] and [arXiv:1601.03795].

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