LIMIT THEOREMS FOR ZETA-FUNCTIONS - WITH APPLICATION IN UNIVERSALITY

Author:

Roma~KA\v{C}INSKAIT\.{E}

2010 Mathematics Subject Classification:

11M41, 11M35, 11M06.

Keywords:

density, discrete limit theorems, Matsumoto zeta-function, Riemann zeta-function, probability measure, universality, value-distribution, weak convergence.

Abstract:

The zeta-functions are very interesting objects in analytic number theory. In the paper, the main attention is focused to the Riemann zeta-function, from the first results on the denseness until limit theorems with application in the investigation of universality in Voronin's sense. A special attention is devoted to the Matsumoto zeta-function. The paper is based on the content of a lecture to the master and doctoral students at the Graduate School of Mathematics of Nagoya University (Japan).

Download paper:

Kaci-2012

Vol. 7 (15), 2011