Voronoï Summation for Half-Integral Weight Automorphic Forms-Reference-Cited by-同舟云学术

Voronoï Summation for Half-Integral Weight Automorphic Forms

Published:2021-09-02 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Assing Edgar¹,Corbett Andrew²

Affiliation:

1. Mathematisches Institut, Endenicher Allee 60, D-53115 Bonn, Germany

2. The Innovation Centre, University Of Exeter, Exeter, EX4 4RN, UK

Abstract

Abstract A general Voronoï summation formula for the (metaplectic) double cover of $\operatorname{GL}_2$ 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.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab238/40301911/rnab238.pdf

Reference33 articles.

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3. Bessel identities in the Waldspurger correspondence over the real numbers;Baruch;Israel J. Math.,2005

4. A symplectic restriction problem;Blomer,2019

5. Functional equations for Hecke–Maass series;Bykovskiĭ;Funktsional. Anal. i Prilozhen,2000

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1. A Voronoi summation formula for non-holomorphic Maass forms of half-integral weight;Monatshefte für Mathematik;2023-11-18