On the magnitude of asymptotic probability measures of Dedekind zeta-functions and other Euler products
Kohji Matsumoto (1991)
Acta Arithmetica
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Kohji Matsumoto (1991)
Acta Arithmetica
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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...
A. Fel'shtyn (1991)
Colloquium Mathematicum
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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 -functions of 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.
M. N. Huxley, A. Ivić (2007)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Segers, Dirk (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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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.
Roman Urban (1998)
Colloquium Mathematicae
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