Generalized moonshine I: Genus-zero functions
Generalized moonshine I: Genus-zero functions
We introduce a notion of Hecke-monicity for functions on certain moduli spaces associated to torsors of finite groups over elliptic curves, and show that it implies strong invariance properties under linear fractional transformations.Specifically, if a weakly Hecke-monic function has algebraic integer coefficients and a pole at infinity, then it is …