Proof of a determinant evaluation conjectured by Bombieri, Hunt and van der Poorten

摘要

A determinant evaluation is proven, a special case of which establishes aconjecture of Bombieri, Hunt, and van der Poorten (Experimental Math\. {\bf 4}(1995), 87--96) that arose in the study of Thue's method of approximatingalgebraic numbers.