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Character sum, reciprocity and Voronoi formula
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Character sum, reciprocity and Voronoi formula
classification
math.NT
keywords
characterformulaidentityvoronoibesselclassicalcounterpartforms
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We prove a novel four-variable character sum identity which serves as a twisted, non-archimedean counterpart to Weber's integrals for Bessel functions. Using this identity and ideas from Venkatesh's thesis, we present a new, spectral proof of the Voronoi formula for classical modular forms.
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