An Approach to the Selberg Trace Formula via the Selberg

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Hans Henrik Rugh [HES. DyHH.THlC&l Systems. Selberg Zeta The Selberg zeta function is decomposed into a canonical product over its zeros in analogy with the. Hadamard product formula for the Riemann zeta function. Graph Theory and the Ihara zeta function;. 3.

Sök bland 100181 avhandlingar från svenska högskolor och universitet på Avhandlingar.se. It is closely related to the Epstein zeta function. Den är nära relaterad till Epsteins zetafunktion. WikiMatrix. The Selberg zeta-function was introduced by Atle Information om Selberg Zeta Functions and Transfer Operators : An Experimental Approach to Singular Perturbations och andra böcker. zeta-function (following Heath-Brown, Kuznetsov, Iwaniec and Motohashi).

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Keywords 2 Axiom A, Fredholm Determinant, Selberg Zeta Function. February 11, 1994. Hans Henrik Rugh [HES. DyHH.THlC&l Systems.

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AU - Booker, Andrew. AU - Platt, David J. PY - 2019/1/24.

September 1976 The Selberg trace formula and the Riemann zeta function.
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There are analogous functions arising in other fields such as.

Download Citation | Selberg Zeta Function | For a geometrically finite hyperbolic surface X the Selberg zeta function Z X (s) was introduced in §2.5.
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Math. Phys. 110, 439–465, 1987. Weblinks. Selberg Zeta Function (Math World) Don Zagier: New points of view on the Selberg zeta function; Ulrich Bunke: Theta and Selberg zeta functions plex functions have meromorphic extensions to the entire complex plane C. 1. Introduction 1.1. Selberg and Ruelle zeta functions for PSL(2;R).

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In 1975 S. M. Voronin proved that the Riemann zeta-function is universal in the strip . We prove that the Selberg zeta-function for the modular group is universal in the strip . This is the first example of the universal zeta-function of order 2. To prove this result we obtain the universality theorem for a wide class of generalized Dirichlet series.

Originally defined geometrically, the Selberg zeta function has a representation in terms of regularized We give a new upper bound on the Selberg zeta function for a convex co- compact. Schottky group acting on the hyperbolic space Hn+1: in strips parallel to the 1), 2) In §§2 and 3 the Riemann and the Selberg zeta functions and their trace formulae are informally compared.3) From the com- parison it appears that in many Selberg burst into the limelight with his proof that the Riemann zeta-function has a positive proportion of its zeros on the critical line.