Applications of the Kuznetsov formula on GL(3)

Type: Article

Publication Date: 2013-02-05

Citations: 44

DOI: https://doi.org/10.1007/s00222-013-0454-3

Abstract

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.

Locations

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  • Inventiones mathematicae - View - PDF

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