Applications of the Kuznetsov formula on GL(3)

We develop a fairly explicit Kuznetsov formula on GL(3) and discuss the analytic behavior of the test functions on both sides. Applications to Weyl’s law, exceptional eigenvalues, a large sieve and L-functions are given.

Detalles Bibliográficos
Autor principal: Blomer, Valentin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2013
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4986316/
https://www.ncbi.nlm.nih.gov/pubmed/27570255
http://dx.doi.org/10.1007/s00222-013-0454-3
Descripción
Sumario:We develop a fairly explicit Kuznetsov formula on GL(3) and discuss the analytic behavior of the test functions on both sides. Applications to Weyl’s law, exceptional eigenvalues, a large sieve and L-functions are given.

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