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

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

2004-01-26

arxiv.org/abs/math/0401362v1

Mathematics

Number Theory

8 pages, Plain Tex

Scientific paper

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 $n$.

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