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A construction of antisymmetric modular forms for Weil representations

Published 30 Oct 2018 in math.NT | (1810.13004v3)

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.

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