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Conference "Zeta Functions"June 21 - 25, 2010Moscow, Russia |
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Conference "Zeta Functions"June 21 - 25, 2010Moscow, Russia |
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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)
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Monday 21 June, 15:00 - 16:00
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 $\Phi$.