THOMAS STOLL

Diophantine equations for orthogonal polynomials

Pages: 311-321
Received: 11 March 2004    Revised: 8 July 2004
Mathematics Subject Classification (2000): 11D45 - 33C45

Abstract: We give a short survey about results obtained by Tichy and the author in the last year. They take part of the doctoral thesis [10] of the speaker; the original papers we refer to are [12], [13]. Both papers deal with Diophantine equations of the form A p_m(x) + B p_n(x) = C where p_m(x) and p_n(x) are different members of a fixed orthogonal polynomial family {p_k(x)}. Finiteness results are established by means of methods based on theorems of Baker and of Bilu and Tichy.