Joint universality of the Riemann zeta-function and Lerch zeta-functions

Antanas Laurinčikas; Renata Macaitienė˙

doi:10.15388/NA.18.3.14012

Articles

Antanas Laurinčikas

Vilnius University, Lithuania

Renata Macaitienė˙

Šiauliai University; Šiauliai State College, Lithuania

Published 2013-07-25

https://doi.org/10.15388/NA.18.3.14012

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Keywords

Lerch zeta-function
Riemann zeta-function
limit theorem
universality

How to Cite

Laurinčikas, A. and Macaitienė˙, R. (2013) “Joint universality of the Riemann zeta-function and Lerch zeta-functions”, Nonlinear Analysis: Modelling and Control, 18(3), pp. 314–326. doi:10.15388/NA.18.3.14012.

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Abstract

In the paper, we prove a joint universality theorem for the Riemann zeta-function and a collection of Lerch zeta-functions with parameters algebraically independent over the field of rational numbers.

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