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Advances in the Theory of Automorphic Forms and Their $L$-functions

Buch | Softcover
376 Seiten
2016
American Mathematical Society (Verlag)
978-1-4704-1709-3 (ISBN)
CHF 174,10 inkl. MwSt
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This volume contains the proceedings of the workshop on ``Advances in the Theory of Automorphic Forms and Their $L$-functions'' held in honor of James Cogdell's 60th birthday, held from October 16-25, 2013, at the Erwin Schrodinger Institute (ESI) at the University of Vienna.

The workshop and the papers contributed to this volume circle around such topics as the theory of automorphic forms and their $L$-functions, geometry and number theory, covering some of the recent approaches and advances to these subjects. Specifically, the papers cover aspects of representation theory of $p$-adic groups, classification of automorphic representations through their Fourier coefficients and their liftings, $L$-functions for classical groups, special values of $L$-functions, Howe duality, subconvexity for $L$-functions, Kloosterman integrals, arithmetic geometry and cohomology of arithmetic groups, and other important problems on $L$-functions, nodal sets and geometry.

Dihua Jiang, University of Minnesota, Minneapolis, MN, USA. Freydoon Shahidi, Purdue University, West Lafayette, IN, USA. David Soudry, Tel Aviv University, Israel.

Local transfer and reducibility of induced representations of $p$-adic groups of classical type by M. Asgari, J. W. Cogdell, and F. Shahidi
Shintani relation for base change: Unitary and elliptic representations by A. I. Badulescu and G. Henniart
On $L$-functions for $U_{2k} x R_{E/F}$GL$_m, (k
On the Howe duality conjecture in classical theta correspondence by W. T. Gan and S. Takeda
Whittaker rational structures and special values of the Asai $L$-function by H. Grobner, M. Harris, and E. Lapid
Character sums of composite moduli and hybrid subconvexity by R. Holowinsky, R. Munshi, and Z. Qi
A linear algebra description of $K_/mathbb{C}/setminus G_/mathbb{C}/B_/mathbb{C}$ for classical groups by R. Howe
Germs for Kloosterman integrals, a review by H. Jacquet
Fourier coefficients for automorphic forms on quasisplit classical groups by D. Jiang and B. Liu
A generalized Casselman-Shalika formula on $GL_N$ by J.-L. Kim
A conditional construction of Artin representations for real analytic Siegel cusp forms of weight (2,1) by H. H. Kim and T. Yamauchi
Another product for a Borcherds form by S. Kudla
On Whittaker-Fourier coefficients of automorphhic forms on unitary groups: Reduction to a local identity by E. Lapid and Z. Mao
Introduction to plectic cohomology by J. Nekovar and A. J. Scholl
A comparison of automorphic and Artin $L$-series of GL(2)-type agreeing at degree one primes by K. Martin and D. Ramakrishnan
Topologies of nodal sets of random band limited functions by P. Sarnak and I. Wigman
Geometric cycles, classical groups and related cohomology classes for arithmetic groups by J. Schwermer and C. Waldner

Erscheinungsdatum
Reihe/Serie Contemporary Mathematics
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-4704-1709-X / 147041709X
ISBN-13 978-1-4704-1709-3 / 9781470417093
Zustand Neuware
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