Voronoi Summation Formulae on GL(n)
Abstract
We discover new Voronoi formulae for automorphic forms on GL(n) for n≥ 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.
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