# Zeta Functions

## September 18 - 22, 2006, Moscow, Russia

### Laboratoire J.-V. Poncelet

General

Announcement

Participants

Practical details

Program

## Schedule of the conference:

 Monday, September 18 Tuesday, September 19 Wednesday, September 20 Thursday, September 21 Friday, September 22 10:00 - 11:20: Sabir Gussein-Zade: Monodromy zeta functions and Poincare series of filtrations on ring of functions. 11:40 - 13:00: Alexey Panchishkin: Explicit form of Shimura's conjecture for S_p3 Lunch break 15:00 - 16:20: Solomon Friedberg: Multiple Dirichlet series attached to Weyl groups 16:40 - 18:00: Wadim Zudilin: Magic of Apery's numbers 10:00 - 11:20: Jean-Francois Burnol: Hilbert spaces, Differential equations, Causality 11:40 - 13:00: Alexey Zykin: The Generalized Brauer-Siegel Theorem Lunch break 15:00 - 16:20: Jeffrey Hoffstein: Some number theoretic applications of Multiple Dirichlet series 10:00 - 11:20: Stephen Gelbart: $L(s,\pi,r)$ in the Critical Strip of an automorphic form on a reductive group 11:40 - 13:00: Stephane Louboutin: Simple proofs of the Siegel-Tatuzawa and the Brauer-Siegel theorems Lunch break 15:00 - 16:00: Philippe Lebacque: Generalized Mertens and Brauer-Siegel theorems. 16:00 - 17:00: Irina Rezvyakova: Zeroes of the Riemann xi-function and its derivatives lying on the critical line. Conference dinner 10:00 - 11:20: Yatusaka Ihara: Construction and study of "M-functions" closely related to the behaviour of logarithmic derivatives of L-functions 11:40 - 13:00: Driss Essouabri: On a class of (mixed) zeta functions and applications Lunch break 15:00 - 16:20: Antanas Laurincikas: Limit theorems for the Mellin transform of the square of the Riemann zeta-function 10:00 - 11:20: Michel L. Lapidus: Zeta Functions and Complex Fractal Dimensions: Geometry and Spectra of Fractal Strings and Membranes. 11:40 - 13:00: Pavel A. Tataurov: Shimura's differential operator in the three-dimensional space Lunch break Afternoon free