Tong's spectrum for Rosen continued fractions

Details Tong's spectrum for Rosen continued fractions Tong's spectrum for Rosen continued fractions

2007-08-23

arxiv.org/abs/0708.3257v1

Mathematics

Number Theory

22 pages, 5 figures

Scientific paper

The Rosen fractions are an infinite set of continued fraction algorithms, each giving expansions of real numbers in terms of certain algebraic integers. For each, we give a best possible upper bound for the minimum in appropriate consecutive blocks of approximation coefficients (in the sense of Diophantine approximation by continued fraction convergents). We also obtain metrical results for large blocks of ``bad'' approximations.

Affiliated with

Also associated with

No associations

Rating

Tong's spectrum for Rosen continued fractions 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 Tong's spectrum for Rosen continued fractions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tong's spectrum for Rosen continued fractions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-394805