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Selberg trace formula
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11	SELBERG ZETA FUNCTION AND TRACE FORMULA FOR THE BTZ BLACK HOLE PETER A. PERRY AND FLOYD L. WILLIAMS Abstract. A Selberg zeta function is attached to the three-dimensional BTZ black hole, and a trace formula is developed Add to Reading List Source URL: empslocal.ex.ac.uk Language: English - Date: 2005-07-14 10:25:05 Coordinate systems Exponentials Hyperbolic function Hyperbolic geometry Selberg trace formula Oblate spheroidal coordinates Symbol Mathematical analysis Mathematics Geometry
12	c 1999 Society for Industrial and Applied Mathematics SIAM REVIEW Vol. 41, No. 2, pp. 236–266 Add to Reading List Source URL: empslocal.ex.ac.uk Language: English - Date: 2001-10-18 08:04:41 Number theory Riemann hypothesis Riemann zeta function Prime-counting function Prime number theorem Selberg trace formula Branch point Orbit Dynamical system Mathematical analysis Mathematics Analytic number theory
13	SELBERG’S TRACE FORMULA ON THE K-REGULAR TREE AND APPLICATIONS AUDREY TERRAS AND DOROTHY WALLACE Abstract. This paper surveys graph theoretic analogues of the Selberg trace and pre-trace formulas along with some applic Add to Reading List Source URL: math.ucsd.edu Language: English - Date: 2003-01-03 03:06:23 Fourier analysis Matrix theory Plancherel theorem for spherical functions Representation theory of Lie groups Spherical harmonics Eigenvalues and eigenvectors Laplace operator Riemann hypothesis Sinc function Mathematical analysis Mathematics Algebra
14	Spectral theory of automorphic forms Werner M¨ uller September 2010 2 Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2012-03-23 14:30:57 Mathematical analysis Symmetric space Cartan decomposition Maximal compact subgroup Representation theory Automorphic form Lattice Arthur–Selberg trace formula Gelfand pair Lie groups Abstract algebra Group theory
15	Functional equation in the fundamental class of functions and the type of explicit formula Muharem Avdispahi´c and Lejla Smajlovi´c Department of mathematics, University of Sarajevo Zmaja od Bosne 35, 71000 Sarajevo, B Add to Reading List Source URL: www.eurasc.org Language: English - Date: 2009-01-15 04:46:07 Conjectures Hypotheses Riemann hypothesis Explicit formula Riemann zeta function Selberg trace formula Selberg class Function Spectral theory of ordinary differential equations Mathematical analysis Mathematics Analytic number theory
16	STABILITY AND ENDOSCOPY: INFORMAL MOTIVATION James Arthur University of Toronto The purpose of this note is described in the title. It is an elementary introduction Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:05 Automorphic forms Arthur–Selberg trace formula Fundamental lemma Representation theory Character theory Tempered representation Shimura variety Gelfand pair Representation theory of finite groups Abstract algebra Algebra Group theory
17	A STABLE TRACE FORMULA I. GENERAL EXPANSIONS James Arthur* Contents Introduction §1 Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:07 Group theory Langlands program Arthur–Selberg trace formula Fundamental lemma Endoscopic group Representation theory Sheaf Representation theory of Lie groups Abstract algebra Automorphic forms Algebra
18	Canonical normalization of weighted characters and a transfer conjecture James Arthur* §1. Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:03 Representation theory Differential topology Littelmann path model Symbol Abstract algebra Automorphic forms Arthur–Selberg trace formula
19	A STABLE TRACE FORMULA III. PROOF OF THE MAIN THEOREMS James Arthur* Contents Introduction §1 Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:09 Automorphic forms Arthur–Selberg trace formula Algebraic number field Fundamental lemma Sheaf Theorem Abstract algebra Mathematics Algebra
20	Induced Representations, Intertwining Operators and Transfer James Arthur This paper is dedicated to George Mackey. Abstract. Induced representations and intertwining operators give rise to distributions that represent c Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:09 Group theory Induced representation Symbol Representation theory Orthogonal group Gelfand pair Arthur–Selberg trace formula Abstract algebra Algebra Mathematics