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The Selberg trace formula and related topics : [electronic resource] proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July 22-28, 1984 with support from the National Science Foundation / Dennis A. Hejhal, Peter Sarnak, and Audrey Anne Terras, editor.

By: AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on the Selberg Trace Formula and Related Topics (1984 : Bowdoin College)Contributor(s): Hejhal, Dennis A | Sarnak, Peter | Terras, AudreyMaterial type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 53.Publication details: Providence, R.I. : American Mathematical Society, c1986Description: 1 online resource (ix, 554 p.)ISBN: 9780821876381 (online)Subject(s): Selberg trace formula -- CongressesAdditional physical formats: Selberg trace formula and related topics :DDC classification: 512/.7 LOC classification: QA241 | .A48 1984Online resources: Contents | Contents

Contents:

Endoscopic groups and stable packets of certain derived functor modules / Jeffrey Adams and Joseph F. Johnson -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853549 A preliminary version of the Selberg trace formula for ${\rm PSL}(3,{\bf Z})\backslash {\rm PSL}(3,{\bf R})/{\rm SO}(3,{\bf R})$ / Dorothy Wallace Andreoli -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853550 The Fourier transform of weighted orbital integrals on ${\rm SL}(2,{\bf R})$ / James Arthur, Rebecca A. Herb and Paul J. Sally, Jr. -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853551 Poincar�e series and Kloosterman sums / Daniel Bump, Solomon Friedberg and Dorian Goldfeld -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853552 The nonvanishing of Rankin-Selberg zeta-functions at special points / J.-M. Deshouillers and H. Iwaniec -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853553 Eisenstein series for imaginary quadratic number fields / J�urgen Elstrodt, Fritz Grunewald and Jens Mennicke -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853554 Unitary quasilifting: preparations / Yuval Z. Flicker -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853555 Fuchsian groups and Reidemeister torsion / David Fried -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853556 Theta-correspondences on unitary groups / Paul B. Garrett -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853557 Establishing correspondences without the trace formula / Paul G�erardin and Wen-Ch'ing Winnie Li -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853558 Multiplicity theorems for ${\rm GL}(2)$ and ${\rm GL}(3)$ / George T. Gilbert -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853559 The convolution method for Dirichlet series / A. Good -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853560 Physics and Selberg's trace formula / Martin C. Gutzwiller -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853561 Representations of the finite symplectic group ${\rm Sp}(4,{\bf F}_p)$ in the spaces of Siegel modular forms / Ki-ichiro Hashimoto -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853562 Roots of quadratic congruences and eigenvalues of the non-Euclidean Laplacian / Dennis A. Hejhal -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853563 Exceptional eigenvalues and congruence subgroups / M. N. Huxley -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853564 An introduction to the trace formula from the adelic point of view / Herv�e Jacquet -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853565 The theory of Eisenstein series for Kleinian groups / N. Mandouvalos -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853566 The continuous spectrum: some explicit formulas / M. Scott Osborne -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853567 Selberg's trace formula and a character identity for generalized Heisenberg groups / M. Scott Osborne -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853568 Some remarks on Shalika germs / J. D. Rogawski -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853569 On cusp forms / Peter Sarnak -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853570 Some simple aspects of the theory of automorphic forms for ${\rm GL}(n,{\bf Z})$ / Audrey A. Terras -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853571 The eigenvalue problem on negatively curved compact locally symmetric manifolds / V. S. Varadarajan -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853572 Correspondances entre representations automorphes de ${\rm GL}(2)$ sur une extension quadratique de ${\rm GSp}(4)$ sur ${\bf Q}$, conjecture locale de Langlands pour ${\rm GSp}(4)$ / Marie-France Vign�eras -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853573 Traceability on the discrete spectrum / Garth Warner -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853574 Stable modular forms / Rainer Weissauer -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853575 Finite spaces of nonclassical Poincar�e theta series / Floyd L. Williams -- http://www.ams.org/conm/053/ http://dx.doi.org/10.1090/conm/053/853576

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Includes bibliographies.

Endoscopic groups and stable packets of certain derived functor modules / Jeffrey Adams and Joseph F. Johnson -- A preliminary version of the Selberg trace formula for ${\rm PSL}(3,{\bf Z})\backslash {\rm PSL}(3,{\bf R})/{\rm SO}(3,{\bf R})$ / Dorothy Wallace Andreoli -- The Fourier transform of weighted orbital integrals on ${\rm SL}(2,{\bf R})$ / James Arthur, Rebecca A. Herb and Paul J. Sally, Jr. -- Poincar�e series and Kloosterman sums / Daniel Bump, Solomon Friedberg and Dorian Goldfeld -- The nonvanishing of Rankin-Selberg zeta-functions at special points / J.-M. Deshouillers and H. Iwaniec -- Eisenstein series for imaginary quadratic number fields / J�urgen Elstrodt, Fritz Grunewald and Jens Mennicke -- Unitary quasilifting: preparations / Yuval Z. Flicker -- Fuchsian groups and Reidemeister torsion / David Fried -- Theta-correspondences on unitary groups / Paul B. Garrett -- Establishing correspondences without the trace formula / Paul G�erardin and Wen-Ch'ing Winnie Li -- Multiplicity theorems for ${\rm GL}(2)$ and ${\rm GL}(3)$ / George T. Gilbert -- The convolution method for Dirichlet series / A. Good -- Physics and Selberg's trace formula / Martin C. Gutzwiller -- Representations of the finite symplectic group ${\rm Sp}(4,{\bf F}_p)$ in the spaces of Siegel modular forms / Ki-ichiro Hashimoto -- Roots of quadratic congruences and eigenvalues of the non-Euclidean Laplacian / Dennis A. Hejhal -- Exceptional eigenvalues and congruence subgroups / M. N. Huxley -- An introduction to the trace formula from the adelic point of view / Herv�e Jacquet -- The theory of Eisenstein series for Kleinian groups / N. Mandouvalos -- The continuous spectrum: some explicit formulas / M. Scott Osborne -- Selberg's trace formula and a character identity for generalized Heisenberg groups / M. Scott Osborne -- Some remarks on Shalika germs / J. D. Rogawski -- On cusp forms / Peter Sarnak -- Some simple aspects of the theory of automorphic forms for ${\rm GL}(n,{\bf Z})$ / Audrey A. Terras -- The eigenvalue problem on negatively curved compact locally symmetric manifolds / V. S. Varadarajan -- Correspondances entre representations automorphes de ${\rm GL}(2)$ sur une extension quadratique de ${\rm GSp}(4)$ sur ${\bf Q}$, conjecture locale de Langlands pour ${\rm GSp}(4)$ / Marie-France Vign�eras -- Traceability on the discrete spectrum / Garth Warner -- Stable modular forms / Rainer Weissauer -- Finite spaces of nonclassical Poincar�e theta series / Floyd L. Williams --