Integral traces of weak Maass forms of genus zero odd prime level

Abstract

Duke and the second author defined a family of linear maps from spaces of weakly holomorphic modular forms of negative integral weight and level 1 into spaces of weakly holomorphic modular forms of half integral weight and level 4 and showed that these lifts preserve the integrality of Fourier coefficients. We show that the generalization of these lifts to modular forms of genus 0 odd prime level also preserves the integrality of Fourier coefficients.

References in corpus (2)

• Zeros of weakly holomorphic modular forms of levels 2 and 3
• Formulas for the coefficients of half-integral weight harmonic Maass forms

Cited by in corpus (1)

• A proof of the Thompson Moonshine Conjecture