Vorono\"i summation for half-integral weight automorphic forms

Edgar Assing; Andrew Corbett

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arXiv · 2009.13809

Vorono\"i summation for half-integral weight automorphic forms

Edgar Assing·Andrew Corbett

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Abstract

A general Vorono\"i summation formula for the (metaplectic) double cover of $\text{GL}_2$ is derived via the representation theoretic framework \`a la Ichino--Templier. The identity is also formulated classically and used to establish Vorono\"i summation formulae for half-integral weight modular forms and Maa{\ss} forms.

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Edgar Assing, Andrew Corbett. 2020-09-29. Vorono\"i summation for half-integral weight automorphic forms. https://arxiv.org/abs/2009.13809

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