This article is cited in 1 paper

Limit theorems for the Mellin transform of the fourth power of the Riemann zeta-function

A. Laurinčikas<sup>ab

a</sup> Institute of Mathematics and Informatics, Vilnius, Lithuania
^b Department of Mathematics and Informatics, Vilnius University, Vilnius, Lithuania

Abstract: We prove limit theorems in the sense of weak convergence of probability measures on the complex plane as well as in the space of analytic functions for the Mellin transform of $|\zeta(\frac12+it)|^4$.

Keywords: limit theorem, Mellin transform, probability measure, random element, Riemann zetafunction, space of analytic functions.

UDC: 511

Received: 06.08.2008

 English version: Siberian Mathematical Journal, 2010, 51:1, 88–103

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