On Rankin-Cohen Brackets of Hecke Eigenforms and Modular Forms of Half-Integral Weight
Number Theory
2024-05-28 v1
Abstract
We generalize the linear relation formula between the square of normalized Hecke eigenforms of weight and normalized Hecke eigenforms of weight , to Rankin-Cohen brackets of general degree. As an ingredient of the proof, we also generalize a formula of Zagier on the Petersson inner product of Rankin-Cohen brackets involving Eisenstein series.
Keywords
Cite
@article{arxiv.2405.16745,
title = {On Rankin-Cohen Brackets of Hecke Eigenforms and Modular Forms of Half-Integral Weight},
author = {YoungJu Choie and Winfried Kohnen and Yichao Zhang},
journal= {arXiv preprint arXiv:2405.16745},
year = {2024}
}