On The Hecke Eigenforms of Half-Integral Weight and Dedekind-Eta Products
Number Theory
2023-01-23 v1
Abstract
Systematic choice of the Hecke eigenforms of half-integral weight is an interesting problem in the theory of modular forms. In this paper, we find all Dedekind-eta products of half-integral weight which are Hecke eigenforms up to weight 15/2 with varying levels. Proof is based on the Shimura lift.
Cite
@article{arxiv.2301.08461,
title = {On The Hecke Eigenforms of Half-Integral Weight and Dedekind-Eta Products},
author = {Banu Irez Aydin and Ilker Inam},
journal= {arXiv preprint arXiv:2301.08461},
year = {2023}
}