Generalizing a result of Pourchet, we show that, if $\alpha,\beta$ are power sums over $Q$ satisfying suitable necessary assumptions, the length of the continued fraction for $\alpha(n)/\beta(n)$ tends to infinity as $n$ tends to infinity.
On the length of the continued fraction for values of quotients of power sums
CORVAJA, Pietro;
2005-01-01
Abstract
Generalizing a result of Pourchet, we show that, if $\alpha,\beta$ are power sums over $Q$ satisfying suitable necessary assumptions, the length of the continued fraction for $\alpha(n)/\beta(n)$ tends to infinity as $n$ tends to infinity.File in questo prodotto:
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