On mixed joint discrete universality for a class of zeta-functions: One more case
Number Theory
2021-10-05 v1
Abstract
We prove a new case of mixed discrete joint universality theorem on approximation of certain target couple of analytic functions by the shifts of a pair consisting of the function belonging to wide class of Matsumoto zeta-functions and the periodic Hurwitz zeta-function. We work under the condition that the common difference of arithmetical progression satisfies a certain rational condition and the parameter is a transcendental number. The essential difference from the result in our previous article is that here we do not study the class of partial zeta-functions, but work with the class of the original functions.
Keywords
Cite
@article{arxiv.2110.01273,
title = {On mixed joint discrete universality for a class of zeta-functions: One more case},
author = {Roma Kacinskaite and Kohji Matsumoto and Lukasz Pankowski},
journal= {arXiv preprint arXiv:2110.01273},
year = {2021}
}
Comments
17pages. arXiv admin note: text overlap with arXiv:1808.03732