Selberg Trace Formula and Related Topics.
Hejhal, Dennis A.
Selberg Trace Formula and Related Topics. - 1st ed. - 1 online resource (565 pages) - Contemporary Mathematics ; v.53 . - Contemporary Mathematics .
Intro -- Table of Contents -- Introduction to the Proceedings of the Conference on Selberg's Trace Formula and Related Topics -- Endoscopic Groups and Stable Packets of Certain Derived Functor Modules -- A Preliminary Version of the Selberg Trace Formula for PSL(3, Z)\PSL(3, R)/S0(3, R) -- The Fourier Transform of Weighted Orbital Integrals on SL(2, R) -- Poincaré Series and Kloosterman Sums -- The Non-vanishing of Rankin-Selberg Zeta-Functions at Special Points -- Eisenstein Series for Imaginary Quadratic Number Fields -- Unitary Quasi-lifting: Preparations -- Fuschian Groups and Reidemeister Torsion -- Theta-Correspondences on Unitary Groups -- Establishing Correspondences Without the Trace Formula -- Multiplicity Theorems for GL(2) and GL(3) -- The Convolution Method for Dirichlet Series -- Physics and Selberg's Trace Formula -- Representations of the Finite Symplectic Group SP(4, Fp) in the Spaces of Siegel Modular Forms -- Roots of Quadratic Congruences and Eigenvalues of the Non-Euclidean Laplacian -- Exceptional Eigenvalues and Congruence Subgroups -- An Introduction to the Trace Formula from the Adelic Point of View -- The Theory of Eisenstein Series for Kleinan Groups -- The Continuous Spectrum: Some Explicit Formulas -- Selberg's Trace Formula and a Character Identity for Generalized Heinsenberg Groups -- Some Remarks on Shalika Germs -- On Cusp Forms -- Some Simple Aspects of the Theory of Automorphic Forms for GL(n, Z) -- The Eigenvalue Problem on Negatively Curved Compact Locally Symmetric Manifolds -- Correspondances Entre Representations Automorphes de GL(2) sur Une Extension Quadratique de GSp(4) sur D. Conjecture Locale de Langlands pour GSp(4) -- Traceability on the Discrete Spectrum -- Stable Modular Forms -- Finite Spaces of Non-Classical Poincaré Theta Series.
9780821876381
Selberg trace formula -- Congresses.
Electronic books.
QA241 -- .A48 1984eb
512/.7
Selberg Trace Formula and Related Topics. - 1st ed. - 1 online resource (565 pages) - Contemporary Mathematics ; v.53 . - Contemporary Mathematics .
Intro -- Table of Contents -- Introduction to the Proceedings of the Conference on Selberg's Trace Formula and Related Topics -- Endoscopic Groups and Stable Packets of Certain Derived Functor Modules -- A Preliminary Version of the Selberg Trace Formula for PSL(3, Z)\PSL(3, R)/S0(3, R) -- The Fourier Transform of Weighted Orbital Integrals on SL(2, R) -- Poincaré Series and Kloosterman Sums -- The Non-vanishing of Rankin-Selberg Zeta-Functions at Special Points -- Eisenstein Series for Imaginary Quadratic Number Fields -- Unitary Quasi-lifting: Preparations -- Fuschian Groups and Reidemeister Torsion -- Theta-Correspondences on Unitary Groups -- Establishing Correspondences Without the Trace Formula -- Multiplicity Theorems for GL(2) and GL(3) -- The Convolution Method for Dirichlet Series -- Physics and Selberg's Trace Formula -- Representations of the Finite Symplectic Group SP(4, Fp) in the Spaces of Siegel Modular Forms -- Roots of Quadratic Congruences and Eigenvalues of the Non-Euclidean Laplacian -- Exceptional Eigenvalues and Congruence Subgroups -- An Introduction to the Trace Formula from the Adelic Point of View -- The Theory of Eisenstein Series for Kleinan Groups -- The Continuous Spectrum: Some Explicit Formulas -- Selberg's Trace Formula and a Character Identity for Generalized Heinsenberg Groups -- Some Remarks on Shalika Germs -- On Cusp Forms -- Some Simple Aspects of the Theory of Automorphic Forms for GL(n, Z) -- The Eigenvalue Problem on Negatively Curved Compact Locally Symmetric Manifolds -- Correspondances Entre Representations Automorphes de GL(2) sur Une Extension Quadratique de GSp(4) sur D. Conjecture Locale de Langlands pour GSp(4) -- Traceability on the Discrete Spectrum -- Stable Modular Forms -- Finite Spaces of Non-Classical Poincaré Theta Series.
9780821876381
Selberg trace formula -- Congresses.
Electronic books.
QA241 -- .A48 1984eb
512/.7