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Título: Kuznetsov's Trace Formula And The Hecke Eigenvalues Of Maass Forms | |
| Autor: A. Knightly | Precio: $1140.80 | |
| Editorial: American Mathematical Society | Año: 2013 | |
| Tema: Matematicas | Edición: 1ª | |
| Sinopsis | ISBN: 9780821887448 | |
| The authors give an adelic treatment of the Kuznetsov trace formula as a relative trace formula on GL(2) over Q . The result is a variant which incorporates a Hecke eigenvalue in addition to two Fourier coefficients on the spectral side. The authors include a proof of a Weil bound for the generalized twisted Kloosterman sums which arise on the geometric side. As an application, they show that the Hecke eigenvalues of Maass forms at a fixed prime, when weighted as in the Kuznetsov formula, become equidistributed relative to the Sato-Tate measure in the limit as the level goes to infinity.
Table of Contents ¦Introduction ¦Preliminaries ¦Bi-K 8 -invariant functions on GL 2 (R) ¦Maass cusp forms ¦Eisenstein series ¦The kernel of R(f) ¦A Fourier trace formula for GL(2) ¦Validity of the KTF for a broader class of h ¦Kloosterman sums ¦Equidistribution of Hecke eigenvalues ¦Bibliography ¦Notation index ¦Subject index |
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Última actualización: Jul 2019