The Balanced Voronoi Formulas for GL(n)

Stephen D. Miller; Fan Zhou

doi:10.1093/imrn/rnx218

The Balanced Voronoi Formulas for GL(n)

Stephen D. Miller
, Fan Zhou

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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 language	English (US)
Pages (from-to)	3473-3484
Number of pages	12
Journal	International Mathematics Research Notices
Volume	2019
Issue number	11
DOIs	https://doi.org/10.1093/imrn/rnx218
State	Published - Jun 3 2019

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnx218

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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].",

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AB - 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].

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UR - https://www.scopus.com/pages/publications/85068742870#tab=citedBy

U2 - 10.1093/imrn/rnx218

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JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

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ER -

The Balanced Voronoi Formulas for GL(n)

Abstract

All Science Journal Classification (ASJC) codes

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