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Conférence "Zeta Functions"21 - 25 juin 2010Moscou, Russie |
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Conférence "Zeta Functions"21 - 25 juin 2010Moscou, Russie |
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Organisateurs: Michel Balazard (CNRS, Laboratoire Poncelet), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institut des Problèmes de Transmission de l'Information), Alexey Zykin (Laboratoire Poncelet, Haute Ecole d'Economie)
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Lundi 21 juin, 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 $\Phi$.