title: Applications of the Kuznetsov formula onGL(3).
abstract: We develop a fairly explicit Kuznetsov formula onGL(3) and discuss the analytic behavior of the test functions on both sides. Applications to Weyl's law, exceptional eigenvalues, a large sieve andL-functions are given.
authors: Mathematisches Institut, Bunsenstr. 3-5, 37073 Göttingen, Germany.
authors: Valentin
authors: V
authors: Blomer
keywords: Exceptional eigenvalues; Kloosterman sums; Kuznetsov formula; Large sieve; Moments of L-functions; Poincaré series; Spectral decomposition; Weyl’s law; Whittaker functions