Items related to Kuznetsov's Trace Formula and the Hecke Eigenvalues...
Kuznetsov's Trace Formula and the Hecke Eigenvalues of Maass Forms (Memoirs of the American Mathematical Society) - Softcover
The authors give an adelic treatment of the Kuznetsov trace formula as a relative trace formula on $operatornameGL(2)$ over $mathbfQ$. 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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About the Author:
A. Knightly, University of Maine, Orono, ME, USA C. Li, The Chinese University of Hong Kong, China
"About this title" may belong to another edition of this title.
- PublisherAmer Mathematical Society
- Publication date2013
- ISBN 10 0821887440
- ISBN 13 9780821887448
- BindingPaperback
- Number of pages132
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