A. Laurinčikas, R. Macaitienė, “The joint universality of Dirichlet <nobr>$L$</nobr>-functions and Lerch zeta-functions”, Sibirsk. Mat. Zh., 2014, Volume 55, Number 4,Pages <nobr>790

The joint universality of Dirichlet $L$-functions and Lerch zeta-functions

A. Laurinčikas^a, R. Macaitienė^b

^a Vilnius University, Vilnius, Lietuva
^b Šiauliai University, Šiauliai, Lietuva

Abstract: We establish a Voronin-type joint universality theorem on approximating analytic functions by the translations of Dirichlet $L$-functions and Lerch zeta-functions.

Keywords: Lerch zeta-function, Dirichlet $L$-function, limit theorem, space of analytic functions, Haar measure, universality.

UDC: 511

Received: 29.11.2012