Constant terms of powers of a Laurent polynomial

Abstract

We prove a special case of a conjecture of Mathieu ([Mat]). Conjecture 1 (Mathieu) Let K be a connected real compact Lie group. Let f and g be K-nite functions on K. Assume that for all n 1 the constant term of fn vanishes. Then for all but nitely many n the constant term of fng also vanishes.