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