Voronoi Summation Formulae on GL(n)

Abstract

We discover new Voronoi formulae for automorphic forms on GL($n$) for $n\ge 4$. There are $[n/2]$ different Voronoi formulae on GL($n$), which are Poisson summation formulae weighted by Fourier coefficients of the automorphic form with twists by some hyper-Kloosterman sums.

minor typos corrected

References in corpus (1)

• Converse theorems, functoriality, and applications to number theory

Cited by in corpus (4)

• The balanced Voronoi formulas for GL(n)
• The Voronoi formula and double Dirichlet series
• The Voronoi formula on GL(3) with ramification
• On the balanced Voronoi formula for GL${}_N$