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Harmonic analysis, the trace formula, and Shimura varieties : proceedings of the Clay Mathematics Institute, 2003 Summer School, the Fields Institute, Toronto, Canada, June 2-27, 2003
Authors: --- ---
ISBN: 082183844X 9780821838440 Year: 2005 Publisher: Providence American Mathematical Society

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Automorphic representations of unitary groups in three variables
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ISBN: 0691085862 Year: 1990 Publisher: Princeton Princeton University Press

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The fundamental lemma for the Shalika subgroup of GL(4)
Authors: ---
ISSN: 00659266 ISBN: 0821805401 Year: 1996 Publisher: Providence (R.I.): American Mathematical Society


Book
Kuznetsov's trace formula and the Hecke eigenvalues of Maass forms.
Authors: ---
ISBN: 9780821887448 Year: 2013 Publisher: Providence American Mathematical Society


Book
A local relative trace formula for the Ginzburg-Rallis model : the geometric side
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ISBN: 1470436868 9781470436865 Year: 2019 Publisher: Providence, RI : American Mathematical Society,

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Following the method developed by Waldspurger and Beuzart-Plessis in their proofs of the local Gan-Gross-Prasad conjecture, the author is able to prove the geometric side of a local relative trace formula for the Ginzburg-Rallis model. Then by applying such formula, the author proves a multiplicity formula of the Ginzburg-Rallis model for the supercuspidal representations. Using that multiplicity formula, the author proves the multiplicity one theorem for the Ginzburg-Rallis model over Vogan packets in the supercuspidal case.


Book
The Selberg-Arthur trace formula : based on lectures by James Arthur
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ISBN: 3540550216 0387550216 3540466592 9783540550211 Year: 1992 Volume: 1503 Publisher: Berlin New York Springer-Verlag

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The trace formula and base change for GL(3)
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ISBN: 3540115005 0387115005 3540392025 9783540115007 Year: 1982 Volume: 927 Publisher: Berlin : Springer-Verl.,

The Riemann zeta-function
Authors: --- ---
ISBN: 3110131706 3110886146 Year: 1992 Volume: 5 Publisher: Berlin New York Walter de Gruyter

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The Riemann Zeta-Function (De Gruyter Expositions in Mathematics).

The Selberg trace formula III : Inner product formulae (Initial considerations )
Authors: ---
ISBN: 0821822837 Year: 1983 Publisher: Providence (R.I.): American Mathematical Society

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Book
Geometric Aspects of the Trace Formula
Authors: --- ---
ISBN: 3319948334 3319948326 Year: 2018 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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The second of three volumes devoted to the study of the trace formula, these proceedings focus on automorphic representations of higher rank groups. Based on research presented at the 2016 Simons Symposium on Geometric Aspects of the Trace Formula that took place in Schloss Elmau, Germany, the volume contains both original research articles and articles that synthesize current knowledge and future directions in the field. The articles discuss topics such as the classification problem of representations of reductive groups, the structure of Langlands and Arthur packets, interactions with geometric representation theory, and conjectures on the global automorphic spectrum. Suitable for both graduate students and researchers, this volume presents the latest research in the field. Readers of the first volume Families of Automorphic Forms and the Trace Formula will find this a natural continuation of the study of the trace formula.

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