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

Pietro Corvaja·Umberto Zannier
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Abstract

Generalizing a result of Pourchet, we prove that, if $α,β$ are power sums satisfying suitable conditions, the length of the continued fraction of the ratio $α(n)/β(n)$ tends to infinity with $n$.

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Pietro Corvaja, Umberto Zannier. 2004-01-26. On the length of continued fractions for values of quotients of power sums. https://arxiv.org/abs/math/0401362

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