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

Roma Kačinskaitė; Kohji Matsumoto

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

Number Theory 2022-08-16 v1

Authors: Roma Kačinskaitė , Kohji Matsumoto

Abstract

We prove a mixed joint discrete universality theorem for a Matsumoto zeta-function $\varphi(s)$ (belonging to the Steuding subclass) and a periodic Hurwitz zeta-function $\zeta(s,\alpha;{\mathfrak{B}})$ . For this purpose, certain independence condition for the parameter $\alpha$ 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].

Keywords

mixed joint discrete universality Matsumoto zeta-function periodic Hurwitz zeta-function Steuding subclass independence condition discrete shifts

Cite

@article{arxiv.1611.08126,
  title  = {On mixed joint discrete universality for a class of zeta-functions},
  author = {Roma Kačinskaitė and Kohji Matsumoto},
  journal= {arXiv preprint arXiv:1611.08126},
  year   = {2022}
}

Comments

in: Analytic and probabilistic methods in number theory. Proceedings of the sixth international conference, Palanga, Lithuania, September 11â17, 2016. Dubickas, A. (ed.) et al. Vilnius: Vilnius University Publishing House. 51-66 (2017)

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

Abstract

Keywords

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