Applications of the Kuznetsov formula on GL(3)

2012/05/31 by Valentin Blomer · 1 citation
Mathematics · #Advanced Algebra and Geometry #Analytic Number Theory Research #Mathematical Analysis and Transform Methods #math.NT #msc:11F66 #msc:11F72

paper · pdf · doi:10.1007/s00222-013-0454-3

updated version, to appear

arxiv created 2013/01/21 · openalex publication_date 2013/02/05 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31

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.

Citations

• Coefficients of Maass Forms and the Siegel Zero

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