English

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

Number Theory 2020-10-20 v2

Abstract

A general Vorono\"i summation formula for the (metaplectic) double cover of GL2\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.

Keywords

Cite

@article{arxiv.2009.13809,
  title  = {Vorono\"i summation for half-integral weight automorphic forms},
  author = {Edgar Assing and Andrew Corbett},
  journal= {arXiv preprint arXiv:2009.13809},
  year   = {2020}
}

Comments

Minor modifications

R2 v1 2026-06-23T18:52:10.610Z