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Generalizing a result of Pourchet, we show that, if , are power sums over Q satisfying suitable necessary assump- tions, the length of the continued fraction for (n)/ (n) tends to infinity as n ! 1. This will be derived from a uniform Thue-type inequality for the rational approximations to the rational numbers (n)/ (n), n 2 N. Introduction. The features of the continued fraction of a positive real number are usually extraordinarily dicult

On the length of the continued fraction for values of quotients of power sums