The Balanced Voronoi Formulas for GL(n)

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Abstract

In this article, we show how the GL(N) Voronoi summation formula of [13] can be rewritten to incorporate hyper-Kloosterman sums of various dimensions on both sides. This generalizes a formula for GL(4) with ordinary Kloosterman sums on both sides that was used in [1] to prove nonvanishing of GL(4) L-functions by GL(2)-twists, and later by the second-named author in [16].

Original languageEnglish (US)
Pages (from-to)3473-3484
Number of pages12
JournalInternational Mathematics Research Notices
Volume2019
Issue number11
DOIs
StatePublished - Jan 1 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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