Voronoi Summation Formulae on GL(n)
classification
🧮 math.NT
keywords
formulaevoronoiautomorphicsummationcoefficientsdifferentdiscoverform
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We discover new Voronoi formulae for automorphic forms on GL($n$) for $n\geq 4$. 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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