Proof of a determinant evaluation conjectured by Bombieri, Hunt and van der Poorten
Christian Krattenthaler and Doron Zeilberger
A determinant evaluation is proven, a special case of which establishes a conjecture of Bombieri, Hunt, and van der Poorten (Experimental Math. 4 (1995), 87–96) that arose in the study of Thue's method of approximating algebraic numbers.