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arxiv: 1205.1781 · v2 · pith:GI2PJUHVnew · submitted 2012-05-08 · 🧮 math.NT

Applications of the Kuznetsov formula on GL(3)

classification 🧮 math.NT
keywords applicationsformulakuznetsovanalyticbehaviourdevelopdiscusseigenvalues
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We develop a fairly explicit Kuznetsov formula on GL(3) and discuss the analytic behaviour 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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