Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.mccme.ru/poncelet/zykin/eng/zeta/talks/martin.html
Дата изменения: Thu Jul 1 00:52:49 2010
Дата индексирования: Tue Feb 5 03:47:14 2013
Кодировка:
Conference "Zeta Functions"
CNRS Poncelet

Conference "Zeta Functions"

June 21 - 25, 2010

Moscow, Russia

RAS Poncelet

Organisers: Michel Balazard (CNRS, Laboratoire Poncelet), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institute for Information Transmission Problems), Alexey Zykin (Laboratoire Poncelet, State University Higher School of Economics)

French Russian

Local average behaviour of the Brjuno function

Bruno Martin (Graz)

Monday 21 June, 15:00 - 16:00

Abstract

In that talk, I will explain how some considerations concerning the Nyman criterion for the Riemann hypothesis led us to investigate the local behaviour of the Brjuno function $\Phi$ initially introduced to study some complex dynamical systems. Our main result is a characterization of the Lebesgue points of $\Phi$.

Poncelet Laboratory web page