Zeta Functions

September 18 - 22, 2006, Moscow, Russia

Laboratoire J.-V. Poncelet

General

Announcement

Participants

Practical details

Program

Antanas Laurincikas

University of Vilnius, Lithuania

Limit theorems for the Mellin transform of the square of the Riemann zeta-function

In the report, we will discuss the value distribution of the modified Mellin transform of the square of the Riemann zeta-function introduced and studied by A.Ivic, M.Jutila and Y.Motohashi. We will recall its analytical properties as well as some estimates and mean square estimates. After this, we will state continuous and discrete limit theorems in the sense of weak convergence of probability measures on the complex plane and in the space of meromorphic functions for this transform. A sketch of the proof of these limit theorems will be given.