A general Voronoi summation formula for GL(n,Z)

Abstract

In an earlier paper we derived an analogue of the classical Voronoi summation formula for automorphic forms on GL(3), by using the theory of automorphic distributions. The purpose of the present paper is to apply this theory to derive the analogous formulas for GL(n).

arXiv commentTo appear in "Geometric analysis: Present and Future", procedings of a conference held in honor of the 60th birthday of Shing-Tung Yau at Harvard, August 27-Sept 1, 2008 (in the Advanced Lectures in Math series of International Press)

Cited by in corpus (6)

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• Voronoi Summation Formulae on GL(n)
• On the balanced Voronoi formula for GL${}_N$
• On an identity for the projection operators of automorphic forms
• The second moment of $GL(4)\times GL(2)$ $L$-functions at special points
• Dirichlet twists of ${\mathrm{GL}}_n$-automorphic $L$-functions and hyper-Kloosterman Dirichlet series