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REMARKS ON THE MIXED JOINT UNIVERSALITY FOR A CLASS OF ZETA FUNCTIONS

Part of: Zeta and $L$-functions: analytic theory

Published online by Cambridge University Press:  19 October 2016

ROMA KAČINSKAITĖ  and
KOHJI MATSUMOTO
ROMA KAČINSKAITĖ
Affiliation:
Department of Mathematics, Šiauliai University, Višinskio 19, LT-77156 Šiauliai, Lithuania Department of Mathematics and Statistics, Vytautas Magnus University, Kaunas, Vileikos 8, LT-44404, Lithuania email [email protected], [email protected]
KOHJI MATSUMOTO*
Affiliation:
Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan email [email protected]
*
✉[email protected]
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Abstract

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Two results related to the mixed joint universality for a polynomial Euler product $\unicode[STIX]{x1D711}(s)$ and a periodic Hurwitz zeta function $\unicode[STIX]{x1D701}(s,\unicode[STIX]{x1D6FC};\mathfrak{B})$, when $\unicode[STIX]{x1D6FC}$ is a transcendental parameter, are given. One is the mixed joint functional independence and the other is a generalised universality, which includes several periodic Hurwitz zeta functions.

Keywords

functional independenceperiodic Hurwitz zeta functionpolynomial Euler productuniversality

MSC classification

Primary: 11M35: Hurwitz and Lerch zeta functions
Secondary: 11M41: Other Dirichlet series and zeta functions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 95 , Issue 2 , April 2017 , pp. 187 - 198
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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