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Studies on boundary values of eigenfunctions on spaces of
The zeta function is associated with the Selberg zeta function and hyperbolic eisenstein series @article{Falliero2017SelbergZF, title={Selberg zeta function and hyperbolic eisenstein series}, author={Th'erese Falliero}, journal={arXiv: Spectral Theory}, year={2017} } Using the theory of von Neumann algebras, machinery is developed to define the zeta function of a discrete group of automorphisms of a bounded degree tree. The main theorems relate the zeta function to determinants of operators defined on edges or vertices of the tree. 2020-09-15 · Abstract. 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.
We will prove that for PSL(2, R) and its cofinite subgroup, the Selberg zeta function is expressed by the determinant of the Laplacian. We will also give an explicit calculation in case of congruence subgroups, and deduce Generalised Selberg zeta functions and a conjectural Lefschetz formula Anton Deitmar S. Friedberg et al: Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory. Proceedings of Symposia in Pure Mathematics, Volume: 75, 177- 190 (2006). Abstract. A generalisation of the Selberg zeta function, or rather its log- OF THE IHARA-SELBERG ZETA FUNCTION FOR GRAPHS DOMINIQUE FOATA AND DORON ZEILBERGER This paper is dedicated to Gian-Carlo Rota, on his millionth2’s birthday. Abstract. We derive combinatorial proofs of the main two evaluations of the Ihara-Selberg zeta function associated with a graph.
An Approach to the Selberg Trace Formula via the Selberg Zeta
The first paper is motivated by a conjecture of Patterson on the Selberg zeta function of. Kleinian groups. We consider geometrically finite We give an explicit formula for the second variation of the logarithm of the Selberg zeta function, Z(s), on Teichmüller space. We then use this formula to Sammanfattning: We give an explicit formula for the second variation of the logarithm of the Selberg zeta function, Z(s), on Teichmüller space.
Johan Andersson Summation formulae and zeta functions
We then use this formula to Sammanfattning: We give an explicit formula for the second variation of the logarithm of the Selberg zeta function, Z(s), on Teichmüller space. We then use this Pris: 336 kr. häftad, 1987. Skickas inom 5-9 vardagar. Köp boken An Approach to the Selberg Trace Formula via the Selberg Zeta-Function av Jurgen Fischer An Approach to the Selberg Trace Formula Via the Selberg Zeta-Function: 1253: Fischer, Jrgen: Amazon.se: Books. Selberg Zeta Functions and Transfer Operators: An Experimental Approach to Singular Perturbations: 2139: Fraczek: Amazon.se: Books. Pris: 339 kr.
J. 43(3): 441-482 (September 1976). DOI: 10.1215/S0012-7094-76-04338-6.
Chf 330 to usd
We first define it from a purely algebraical point of This book presents a method for evaluating Selberg zeta functions via transfer operators for the full modular group and its congruence subgroups with characters. Studying zeros of Selberg zeta functions for character deformations allows us to access the discrete spectra and resonances of hyperbolic Laplacians under both singular and non-singular perturbations. Areas in which the theory has not In this paper we consider Turing's method in the analogous setting of Selberg zeta-functions, and we demonstrate that it can be carried out rigorously in the prototypical case of the modular surface. AB - In one of his final research papers, Alan Turing introduced a method to certify the completeness of a purported list of zeros of the Riemann zeta-function. the Selberg zeta function for surfaces of constant negative curvature.
On Epstein's Zeta-function.
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Second variation of Selberg zeta functions and - GUP
Studying zeros of Selberg zeta functions for character deformations allows us to access the discrete spectra and resonances of hyperbolic 1998-12-07 Selberg zeta function and hyperbolic eisenstein series @article{Falliero2017SelbergZF, title={Selberg zeta function and hyperbolic eisenstein series}, author={Th'erese Falliero}, journal={arXiv: Spectral Theory}, year={2017} } The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2,#3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Selberg zeta-function.
Second variation of Selberg zeta functions and curvature
Setup: geometrically nite hyperbolic surfaces nH IH hyperbolic plane Selberg zeta function and relative analytic torsion for hyperbolic odd-dimensional orbifolds Dissertation zur Erlangung des Doktorgrades (Dr. rer.
The zeta function is associated with the Selberg zeta function and hyperbolic eisenstein series @article{Falliero2017SelbergZF, title={Selberg zeta function and hyperbolic eisenstein series}, author={Th'erese Falliero}, journal={arXiv: Spectral Theory}, year={2017} } Using the theory of von Neumann algebras, machinery is developed to define the zeta function of a discrete group of automorphisms of a bounded degree tree. The main theorems relate the zeta function to determinants of operators defined on edges or vertices of the tree. 2020-09-15 · Abstract. 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.