Computing antisymmetric modular forms and theta lifts. (arXiv:1810.13004v2 [math.NT] UPDATED)

We describe an algorithm to compute bases of 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. 查看全文>>