Transcendence of special values of quasi-modular forms

摘要

Given a quasi-modular form f of nonzero weight for SL _2(?) with algebraic Fourier coefficients, we consider the nonzero values of f at the algebraic points of the moduli space SL _2(?)?. We show that these special values are transcendental numbers. We also establish the analogous result in the setting of Drinfeld quasi-modular forms.