On the algebraicity of coefficients of half-integral weight mock modular forms

Abstract

Extending works of Ono and Boylan to the half-integral weight case, we relate the algebraicity of Fourier coefficients of half-integral weight mock modular forms to the vanishing of Fourier coefficients of their shadows.

Keywords

• weakly holomorphic modular forms
• 11f11
• 11f67
• 11f37