Fourier coefficients of three-dimensional vector-valued modular forms
Fourier coefficients of three-dimensional vector-valued modular forms
A thorough analysis is made of the Fourier coefficients for vector-valued modular forms associated to three-dimensional irreducible representations of the modular group. In particular, the following statement is verified for all but a finite number of equivalence classes: if a vector-valued modular form associated to such a representation has rational …