Voronoï Summation for Half-Integral Weight Automorphic Forms

نویسندگان

چکیده

Abstract A general Voronoï summation formula for the (metaplectic) double cover of $\operatorname{GL}_2$ is derived via representation theoretic framework à la Ichino–Templier. The identity also formulated classically and used to establish formulae half-integral weight modular forms Maaß forms.

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2021

ISSN: ['1687-0247', '1073-7928']

DOI: https://doi.org/10.1093/imrn/rnab238