The joint universality of Hurwitz zeta-functions

Author:

Antanas LAURINČIKAS

AMS Classification:

11M35

Keywords:

Hurwitz zeta-function, limit theorem, probability measure, universality, weak convergence

Abstract:

In the paper, the joint universality in the Voronin sense for Hurwitz zeta-functions with parameters \alpha_1,..., \alpha_r such that the system \{\log(m+\alpha_j) : m = 0, 1, 2,..., j = 1,..., r\} is linearly independent over the field of rational numbers is obtained.

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laurincikas-08.pdf

Vol. 3 (11), 2008