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arXiv · 1612.04886

The balanced Voronoi formulas for GL(n)

Stephen D. Miller·Fan Zhou
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Abstract

In this paper we show how the GL(N) Voronoi summation formula of [MiSc2] 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 considered by Xiaoqing Li and the first-named author, and later by the second-named author in [Zho].

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Stephen D. Miller, Fan Zhou. 2017-07-28. The balanced Voronoi formulas for GL(n). https://doi.org/10.1093/imrn%2Frnx218

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