On the period of the continued fraction for values of the square root of power sums

Details On the period of the continued fraction for values of the square root of power sums On the period of the continued fraction for values of the square root of power sums

2004-05-20

arxiv.org/abs/math/0405390v1

Mathematics

Number Theory

Scientific paper

The present paper proves that if for a power sum $\alpha$ over $\ZZ$ the length of the period of the continued fraction for $\sqrt{\alpha(n)}$ is constant for infinitely many even (resp. odd) $n$, then $\sqrt{\alpha(n)}$ admits a functional continued fraction expansion for all even (resp. odd) $n$, except finitely many; in particular, for such $n$, the partial quotients can be expressed by power sums of the same kind.

Affiliated with

Also associated with

No associations

Rating

On the period of the continued fraction for values of the square root of power sums does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the period of the continued fraction for values of the square root of power sums, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the period of the continued fraction for values of the square root of power sums will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-552217