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Kuznetsovs Trace Formula And The Hecke Eigenvalues Of Maass Forms Knightly A

  • SKU: BELL-5252188
Kuznetsovs Trace Formula And The Hecke Eigenvalues Of Maass Forms Knightly A
$ 31.00 $ 45.00 (-31%)

4.1

100 reviews

Kuznetsovs Trace Formula And The Hecke Eigenvalues Of Maass Forms Knightly A instant download after payment.

Publisher: Amer Mathematical Society
File Extension: PDF
File size: 1.3 MB
Pages: 144
Author: Knightly A., Li C.
ISBN: 9780821887448, 0821887440
Language: English
Year: 2013

Product desciption

Kuznetsovs Trace Formula And The Hecke Eigenvalues Of Maass Forms Knightly A by Knightly A., Li C. 9780821887448, 0821887440 instant download after payment.

The authors give an adelic treatment of the Kuznetsov trace formula as a relative trace formula on $\operatorname{GL}(2)$ over $\mathbf{Q}$. 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

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