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

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  • Formāts: 376 pages
  • Sērija : Contemporary Mathematics
  • Izdošanas datums: 01-Apr-2016
  • Izdevniecība: American Mathematical Society
  • ISBN-13: 9781470430054
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  • Formāts: 376 pages
  • Sērija : Contemporary Mathematics
  • Izdošanas datums: 01-Apr-2016
  • Izdevniecība: American Mathematical Society
  • ISBN-13: 9781470430054
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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.
Local transfer and reducibility of induced representations of p-adic groups of classical type
1(22)
Mahdi Asgari
James W. Cogdell
Freydoon Shahidi
Shintani relations for base change: unitary and elliptic representations
23(46)
A.I. Badulescu
G. Henniart
On L-functions for U2k × RE/F GLm, (k < m)
69(36)
Asher Ben-Artzi
David Soudry
On the Howe duality conjecture in classical theta correspondence
105(14)
Wee Teck Gan
Shuichiro Takeda
Whittaker rational structures and special values of the Asai L-function
119(16)
Harald Grobner
Michael Harris
Erez Lapid
Character sums of composite moduli and hybrid subconvexity
135(14)
Roman Holowinsky
Ritabrata Munshi
Zhi Qi
A linear algebra description of Kc\Gc/Bc for classical groups
149(24)
Roger Howe
Germs for Kloosterman integrals, a review
173(14)
Herve Jacquet
Fourier coefficients for automorphic forms on quasisplit classical groups
187(22)
Dihua Jiang
Baiying Liu
A generalized Casselman--Shalika formula on GLN
209(16)
Ju-Lee Kim
A conditional construction of Artin representations for real analytic Siegel cusp forms of weight (2,1)
225(36)
Henry H. Kim
Takuya Yamauchi
Another product for a Borcherds form
261(34)
Stephen Kudla
On Whittaker--Fourier coefficients of automorphic forms on unitary groups: reduction to a local identity
295(26)
Erez Lapid
Zhengyu Mao
Introduction to plectic cohomology
321(18)
J. Nekovar
A. J. Scholl
A comparison of automorphic and Artin L--series of GL(2)-type agreeing at degree one primes
339(12)
Kimball Martin
Dinakar Ramakrishnan
Topologies of nodal sets of random band limited functions
351(16)
Peter Sarnak
Igor Wigman
Geometric Cycles, classical groups and related cohomology classes for arithmetic groups
367
Joachim Schwermer
Christoph Waldner
Dihua Jiang, University of Minnesota, Minneapolis, MN, USA.

Freydoon Shahidi, Purdue University, West Lafayette, IN, USA.

David Soudry, Tel Aviv University, Israel.