A converse theorem in half-integral weight
Number Theory
2024-09-11 v4
Abstract
In this paper, we prove a converse theorem for half-integral weight modular forms assuming functional equations for -series with additive twists. This result is an extension of Booker, Farmer, and Lee's result in [BFL22] to the half-integral weight setting. Similar to their work, the main result of this paper is obtained as a consequence of the half-integral weight Petersson trace formula.
Cite
@article{arxiv.2306.02872,
title = {A converse theorem in half-integral weight},
author = {Steven Creech and Henry Twiss},
journal= {arXiv preprint arXiv:2306.02872},
year = {2024}
}
Comments
13 pages, 2 tables