  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].

Number Theory