The discrete case of the mixed joint universality for a class of certain partial zeta-functions

2018/08/11 by Roma Kačinskaitė, Kacinskaite, Roma, Kohji Matsumoto +1
Mathematics · #11M06 #11M35 #11M41 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1808.03732

openalex publication_date 2018/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new type of mixed discrete joint universality properties, which is satisfied by a wide class of zeta-functions. We study the universality for a certain modification of a Matsumoto zeta-function and a periodic Hurwitz zeta-function under certain arithmetic condition on the common difference of arithmetical progression and the shifting parameter. Also we generalize a known discrete universality result in our former paper and the new one as well.

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