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March 2020 Joint value-distribution of Dirichlet series associated with periodic arithmetical functions
Philipp Muth, Jörn Steuding
Funct. Approx. Comment. Math. 62(1): 63-79 (March 2020). DOI: 10.7169/facm/1788

Abstract

We prove a joint universality theorem for two Dirichlet series associated with periodic arithmetical functions, resp. their analytic continutations. This result is applied to prove a uniqueness theorem which in particular shows that Hurwitz zeta-functions with a rational parameter do not share any complex value.

Citation

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Philipp Muth. Jörn Steuding. "Joint value-distribution of Dirichlet series associated with periodic arithmetical functions." Funct. Approx. Comment. Math. 62 (1) 63 - 79, March 2020. https://doi.org/10.7169/facm/1788

Information

Published: March 2020
First available in Project Euclid: 26 October 2019

zbMATH: 07225499
MathSciNet: MR4074387
Digital Object Identifier: 10.7169/facm/1788

Subjects:
Primary: 11M06

Rights: Copyright © 2020 Adam Mickiewicz University

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Vol.62 • No. 1 • March 2020
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