Zeta functions

December 1-5, 2008, Moscow, Russia

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Jean-Louis Verger-Gaugry
Fourier Institute, Grenoble, France
Jean-Louis.Verger-Gaugry (at) ujf-grenoble.fr

Equidistribution of poles near the unit circle of the Artin-Mazur-Ruelle zeta function of the beta-transformation

We find an equidistribution phenomenon near the unit circle for the poles (Galois and beta-conjugates) of the zeta-function of the beta-transformation for beta a Parry number (previously called beta-number). The Erdos-Turan-Mignotte approach is introduced to describe it.


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