A construction of antisymmetric modular forms for Weil representations
Number Theory
2019-10-28 v3
Abstract
We give coefficient formulas for antisymmetric vector-valued cusp forms with rational Fourier coefficients for the Weil representation associated to a finite quadratic module. The forms we construct always span all cusp forms in weight at least three. These formulas are useful for computing explicitly with theta lifts.
Cite
@article{arxiv.1810.13004,
title = {A construction of antisymmetric modular forms for Weil representations},
author = {Brandon Williams},
journal= {arXiv preprint arXiv:1810.13004},
year = {2019}
}
Comments
Substantial organizational changes based on reviewer's suggestions. Previously titled "Computing antisymmetric modular forms and theta lifts". 14 pages