Congruence properties of Taylor coefficients of modular forms
Congruence properties of Taylor coefficients of modular forms
In their work, Serre and Swinnerton-Dyer study the congruence properties of the Fourier coefficients of modular forms. We examine similar congruence properties, but for the coefficients of a modified Taylor expansion about a CM point τ. These coefficients can be shown to be the product of a power of a …