The balanced Voronoi formulas for GL(n)

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].

References in corpus (2)

• Voronoi Summation Formulae on GL(n)
• The Voronoi formula and double Dirichlet series

Cited by in corpus (4)

• The cubic moment of Hecke--Maass cusp forms and moments of $L$-functions
• The Second Moment of ${\mathrm{GL}}_3\times {\mathrm{GL}}_2$ $L$-functions at Special Points
• Schubert cells and Whittaker functionals for $\text{GL}(n,\mathbb{R})$ part II: Existence via integration by parts
• Dirichlet twists of ${\mathrm{GL}}_n$-automorphic $L$-functions and hyper-Kloosterman Dirichlet series