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arXiv · 1410.3410

Voronoi Summation Formulae on GL(n)

Fan Zhou
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Abstract

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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Fan Zhou. 2015-02-03. Voronoi Summation Formulae on GL(n). https://doi.org/10.1016/j.jnt.2015.10.012

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