# Kuznetsov's Trace Formula and the Hecke Eigenvalues of Maass Forms (Memoirs of the American Mathematical Society)

## A. Knightly; C. Li

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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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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

Edité par American Mathematical Society, United States (2013)
ISBN 10 : 0821887440 ISBN 13 : 9780821887448
Neuf(s) Paperback Quantité : 1
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The Book Depository
(London, Royaume-Uni)
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Description du livre American Mathematical Society, United States, 2013. Paperback. État : 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. N° de réf. du libraire AAN9780821887448

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

Edité par American Mathematical Society (2013)
ISBN 10 : 0821887440 ISBN 13 : 9780821887448
Neuf(s) Quantité : 1
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Books2Anywhere
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Description du livre American Mathematical Society, 2013. PAP. État : New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de réf. du libraire CE-9780821887448

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

Edité par American Mathematical Society
ISBN 10 : 0821887440 ISBN 13 : 9780821887448
Neuf(s) Paperback Quantité : 1
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THE SAINT BOOKSTORE
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Description du livre American Mathematical Society. Paperback. État : new. 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 réf. du libraire B9780821887448

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

Edité par American Mathematical Society, United States (2013)
ISBN 10 : 0821887440 ISBN 13 : 9780821887448
Neuf(s) Paperback Quantité : 1
Vendeur
The Book Depository US
(London, Royaume-Uni)
Evaluation vendeur

Description du livre American Mathematical Society, United States, 2013. Paperback. État : 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. N° de réf. du libraire AAN9780821887448

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

Edité par Amer Mathematical Society (2013)
ISBN 10 : 0821887440 ISBN 13 : 9780821887448
Neuf(s) Paperback Quantité : 1
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Revaluation Books
(Exeter, Royaume-Uni)
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Description du livre Amer Mathematical Society, 2013. Paperback. État : Brand New. In Stock. N° de réf. du libraire __0821887440

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