PageHeader : Funkcialaj Ekvacioj, 37 (1994) 195-209 Title : Algebraic Independence of Functions Satisfying a Title : Certain System of Functional Equations AuthorInfo : By AuthorInfo : Keiji NISHIOKA and Kumiko NISHIOKA AuthorInfo : (Keio University and Nihon University, Japan) section : 0. Introduction section : 1. Reducibility section : 2. Invariants section : 3. Zeros of the $p_{t}$ section : 4. Proof of Theorem section : References