Abstract
Let A be a polynomial ring in one variable over a finite field and k be its fraction field. Let f be a Drinfeld modular form of nonzero weight for a congruence subgroup of GL 2 (A) so that the coefficients of the q ∞ -expansion of f are algebraic over k. We consider n CM points α 1 , . . ., α n on the Drinfeld upper half plane for which the quadratic fields k(α 1 ), . . ., k(α n ) are pairwise distinct. Suppose that f is non-vanishing at these n points. Then we prove that f(α 1 ), . . ., f(α n ) are algebraically independent over k. © 2011 Springer-Verlag.