Regularized inner products and weakly holomorphic Hecke eigenforms
Number Theory
2018-01-17 v1
Abstract
We show that the image of repeated differentiation on weak cusp forms is precisely the subspace which is orthogonal to the space of weakly holomorphic modular forms. This gives a new interpretation of the weakly holomorphic Hecke eigenforms.
Keywords
Cite
@article{arxiv.1711.01733,
title = {Regularized inner products and weakly holomorphic Hecke eigenforms},
author = {Kathrin Bringmann and Ben Kane},
journal= {arXiv preprint arXiv:1711.01733},
year = {2018}
}