# Kuznetsov's Trace Formula and the Hecke Eigenvalues of Maass Forms

## Andrew Knightly, C. K. Li

Editorial: American Mathematical Society
ISBN 10: 0821887440 / ISBN 13: 9780821887448
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BRAND NEW, Kuznetsov's Trace Formula and the Hecke Eigenvalues of Maass Forms, Andrew Knightly, C. K. Li, 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. N° de ref. de la librería

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Sinopsis: 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.

About the Author: A. Knightly , University of Maine, Orono, ME, USA C. Li , The Chinese University of Hong Kong, China

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Título: Kuznetsov's Trace Formula and the Hecke ...
Editorial: American Mathematical Society
Condición del libro: new

## 1.Kuznetsov's Trace Formula and the Hecke Eigenvalues of Maass Forms

Editorial: American Mathematical Society (2013)
ISBN 10: 0821887440 ISBN 13: 9780821887448
Librería
Books2Anywhere
(Fairford, GLOS, Reino Unido)
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Descripción American Mathematical Society, 2013. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9780821887448

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## 2.Kuznetsov s Trace Formula and the Hecke Eigenvalues of Maass Forms (Paperback)

Editorial: American Mathematical Society, United States (2013)
ISBN 10: 0821887440 ISBN 13: 9780821887448
Librería
The Book Depository
(London, Reino Unido)
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Descripción American Mathematical Society, United States, 2013. Paperback. Estado de conservación: New. Language: English . Brand New Book. 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. Nº de ref. de la librería AAN9780821887448

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## 3.Kuznetsovs Trace Formula and the Hecke Eigenvalues of Maass Forms: 1055 (Memoirs of the American Mathematical Society)

Editorial: American Mathematical Society
ISBN 10: 0821887440 ISBN 13: 9780821887448
Librería
THE SAINT BOOKSTORE
(Southport, Reino Unido)
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Descripción American Mathematical Society. Paperback. Estado de conservación: New. New copy - Usually dispatched within 2 working days. Nº de ref. de la librería B9780821887448

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## 4.Kuznetsov's Trace Formula and the Hecke Eigenvalues of Maass Forms: Vol 1055

Editorial: Amer Mathematical Society (2013)
ISBN 10: 0821887440 ISBN 13: 9780821887448