ON JOINT DISCRETE UNIVERSALITY OF THE RIEMANN ZETA-FUNCTION IN SHORT INTERVALS-Reference-Cited by-同舟云学术

ON JOINT DISCRETE UNIVERSALITY OF THE RIEMANN ZETA-FUNCTION IN SHORT INTERVALS

Published:2023-10-20 Issue:4 Volume:28 Page:596-610
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Chakraborty Kalyan¹,Kanemitsu Shigeru²^ORCID,Laurinčikas Antanas³^ORCID

Affiliation:

1. Department of Mathematics, Harish Chandra Research Institute, Chhatnag Road Jhunsi, 211019 Allabahad, India; Kerala School of Mathematics, Kunnamangalam Kozhikode, 673571 Kerala, India

2. Faculty of Engineering, Kyushu Institute of Thechnology, Sensuicho 1-1, 804-8555 Tobata Kitakyushu, Japan

3. Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko g. 24, LT-03225 Vilnius, Lithuania

Abstract

In the paper, we prove that the set of discrete shifts of the Riemann zeta-function approximating analytic nonvanishing functions f1(s),...,fr(s) defined on has a positive density in the interval [N,N + M] with with real algebraic numbers a1,...,ar linearly independent over Q. A similar result is obtained for shifts of certain absolutely convergent Dirichlet series.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

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