Continued fractions for a class of triangle groups

Details Continued fractions for a class of triangle groups Continued fractions for a class of triangle groups

2011-03-10

arxiv.org/abs/1103.2076v1

Mathematics

Number Theory

19 pages, 2 figures

Scientific paper

We give continued fraction algorithms for a particular class of Fuchsian triangle groups. In particular, we give an explicit form of each such group that is a subgroup of the Hilbert modular group of its trace field and provide an interval map that is piecewise linear fractional, given in terms of group elements. Using natural extensions, we find an ergodic invariant measure for the interval map. We also study diophantine properties of approximation in terms of the continued fractions; and furthermore show that these continued fractions are appropriate to obtain transcendence results.

Affiliated with

Also associated with

No associations

Rating

Continued fractions for a class of triangle groups 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 Continued fractions for a class of triangle groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Continued fractions for a class of triangle groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-631695