A construction of antisymmetric modular forms for Weil representations
arXiv:1810.13004
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.
Substantial organizational changes based on reviewer's suggestions. Previously titled "Computing antisymmetric modular forms and theta lifts". 14 pages