Displaying similar documents to “Discrete Value -- Distribution of L-functions of Elliptic Curves”

Mean-periodicity and zeta functions

Ivan Fesenko, Guillaume Ricotta, Masatoshi Suzuki (2012)

Annales de l’institut Fourier

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This paper establishes new bridges between zeta functions in number theory and modern harmonic analysis, namely between the class of complex functions, which contains the zeta functions of arithmetic schemes and closed with respect to product and quotient, and the class of mean-periodic functions in several spaces of functions on the real line. In particular, the meromorphic continuation and functional equation of the zeta function of an arithmetic scheme with its expected analytic shape...

Higher regularizations of zeros of cuspidal automorphic L -functions of GL d

Masato Wakayama, Yoshinori Yamasaki (2011)

Journal de Théorie des Nombres de Bordeaux

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We establish “higher depth” analogues of regularized determinants due to Milnor for zeros of cuspidal automorphic L -functions of GL d over a general number field. This is a generalization of the result of Deninger about the regularized determinant for zeros of the Riemann zeta function.

A note on dynamical zeta functions for S-unimodal maps

Gerhard Keller (2000)

Colloquium Mathematicae

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Let f be a nonrenormalizable S-unimodal map. We prove that f is a Collet-Eckmann map if its dynamical zeta function looks like that of a uniformly hyperbolic map.