A construction of antisymmetric modular forms for Weil representations

Brandon Williams

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arXiv · 1810.13004

A construction of antisymmetric modular forms for Weil representations

Brandon Williams

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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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Brandon Williams. 2018-10-30. A construction of antisymmetric modular forms for Weil representations. https://arxiv.org/abs/1810.13004

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