Abstract
Abstract In this article, we show how the $\textrm{GL}(N)$ Voronoi summation formula of [13] can be rewritten to incorporate hyper-Kloosterman sums of various dimensions on both sides. This generalizes a formula for $\textrm{GL}(4)$ 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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