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Selberg trace formula
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1	PERlon FUNCTIONS AND THE SELBERG ZETA FUNCTION FOR TUE MODULAR GROUP John Lewis and Don Zagier Framingham State College Add to Reading List Source URL: people.mpim-bonn.mpg.de Language: English - Date: 2011-05-26 12:06:06 Analytic number theory Bernhard Riemann Automorphic forms Selberg trace formula Selberg zeta function Riemann zeta function ArthurSelberg trace formula Riemann hypothesis
2	Appendix by D. Zagier The Eichler-Selberg Trace Formula on SLiZ) Throughout this appendix we let r=r(1)=SL 2 (Z). We let Fbe a fundamental domain for r in D. We fix a weight k even ~4. We write T(m) instead of Tk(m) for Add to Reading List Source URL: people.mpim-bonn.mpg.de Language: English - Date: 2014-05-15 08:11:02 Mathematical analysis Mathematics Operator theory Complex analysis Harmonic analysis Integral calculus Order of integration Moduli theory Singular integral operators of convolution type Oscillator representation
3	The hypoelliptic Laplacian by Jean-Michel Bismut If X is a Riemannian manifold, the Laplacian is a second order elliptic operator on X. The hypoelliptic Laplacian Lb is a a family of operators acting on the total space X Add to Reading List Source URL: www.mi.uni-koeln.de Language: English - Date: 2015-04-01 06:23:00 Hypoelliptic operator Laplace operator Elliptic operator Geodesic Selberg trace formula Mathematical analysis Calculus Differential operators
4	Review of SL2 (R) by Serge Lang Given the formalism of quantum mechanics, the study of those of its laws which are invariant under the Lorentz group inevitably leads to infinite-dimensional representations of both the ho Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:21:26 Representation theory of Lie groups Representation theory Automorphic form SL2 Discrete series representation Unitary representation Selberg trace formula Matrix coefficient Representation theory of SL2 Abstract algebra Group theory Mathematical analysis
5	Shimura varieties and the Selberg trace formula * R.P. Langlands This paper is a report on work in progress rather than a description of theorems which have attained their final form. The results I shall describe are par Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:22:48 Mathematics Analytic number theory Algebraic geometry Shimura variety Selberg trace formula Explicit formula Representation theory Modular form Arthur–Selberg trace formula Mathematical analysis Abstract algebra Automorphic forms
6	Descent for Transfer Factors R. Langlands and D. Shelstad Dedicated to A. Grothendieck on his 60th Birthday Introduction In [I] we introduced the notion of transfer from a group over a local field to an associated endosc Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:19:50 Group actions Operator theory Symmetry Representation theory of Lie groups Arthur–Selberg trace formula Semidirect product Abstract algebra Algebra Group theory
7	On the Definition of Transfer Factors* R.P. Langlands and D. Shelstad To Friedrich Hirzebruch on his sixtieth birthday CONTENTS Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:23:58 Group actions Representation theory of Lie groups Conjugacy class Representation theory Weight Arthur–Selberg trace formula Orbifold Abstract algebra Algebra Group theory
8	Review of The theory of Eisenstein systems by M. Scott Osborne and Garth Warner The Laplace-Beltrami operator on the upper half-plane with respect to the hyperbolic metric is ∂2 ∂x2 Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-25 18:03:28 Modular forms Selberg trace formula Fuchsian group Automorphic form Cusp form Congruence subgroup Hecke operator Induced representation Möbius transformation Abstract algebra Mathematical analysis Mathematics
9	L-Indistinguishability for SL(2)* J.-P. Labesse and R.P. Langlands 1. Introduction. The notion of L-indistinguishability, like many others current in the study of L-functions, has yet to be completely defined, but it is Add to Reading List Source URL: www.sunsite.ubc.ca Language: English - Date: 2001-05-12 20:22:16 Representation theory Algebraic topology Homotopy theory Arthur–Selberg trace formula Orbifold Abstract algebra Topology Algebra
10	PDF Document Add to Reading List Source URL: www.ipm.ac.ir Language: English - Date: 2011-09-28 00:50:08 Modular forms Automorphic forms Linear algebra Number theorists Hecke operator Selberg trace formula Hilbert space Cusp form Congruence subgroup Mathematics Algebra Mathematical analysis

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