A construction of antisymmetric modular forms for Weil representations

2018/10/30 by Williams, Brandon
#11F27 #11F55 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/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.

Related

• The basis problem for modular forms for the Weil representation
• Weil representations associated to finite quadratic modules
• Generating weights for the Weil representation attached to an even order\n cyclic quadratic module
• On vector valued automorphic forms for the Weil representation
• Jacobi Forms of Critical Weight and Weil Representations