Voronoï summation for half-integral weight automorphic forms

2020/09/29 by Assing, Edgar, Corbett, Andrew
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2009.13809

Abstract

A general Voronoï summation formula for the (metaplectic) double cover of GL₂ is derived via the representation theoretic framework à la Ichino--Templier. The identity is also formulated classically and used to establish Voronoï summation formulae for half-integral weight modular forms and Maaß forms.

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