Period-like polynomials for $L$-series associated with half-integral weight cusp forms
Number Theory
2024-10-11 v3
Abstract
Given the L-series of a half-integral weight cusp form, we construct a cohomology class with coefficients in a finite dimensional vector space in a way that parallels the Eichler cohomology in the integral weight case. We also define a lift of half-integral weight cusp forms to integral weight modular forms that is compatible with the -series of the respective forms.
Cite
@article{arxiv.2307.10863,
title = {Period-like polynomials for $L$-series associated with half-integral weight cusp forms},
author = {James Branch and Nikolaos Diamantis and Wissam Raji and Larry Rolen},
journal= {arXiv preprint arXiv:2307.10863},
year = {2024}
}