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On the Length of Continued Fractions for Values of Quotients of Power Sums by Corvaja, Pietro; Zannier, Umberto is a scholarly article available to read on EtoBox.

What is On the Length of Continued Fractions for Values of Quotients of Power Sums about?

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

Author

Corvaja, Pietro; Zannier, Umberto

Published

2004

Language

EN