The distribution of closed geodesics on the modular surface, and Duke's theorem

Details The distribution of closed geodesics on the modular surface, and Duke's theorem The distribution of closed geodesics on the modular surface, and Duke's theorem

2011-09-02

arxiv.org/abs/1109.0413v1

Mathematics

Number Theory

Scientific paper

We give an ergodic theoretic proof of a theorem of Duke about equidistribution of closed geodesics on the modular surface. The proof is closely related to the work of Yu. Linnik and B. Skubenko, who in particular proved this equidistribution under an additional congruence assumption on the discriminant. We give a more conceptual treatment using entropy theory, and show how to use positivity of the discriminant as a substitute for Linnik's congruence condition.

Affiliated with

Also associated with

No associations

Rating

The distribution of closed geodesics on the modular surface, and Duke's theorem 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 The distribution of closed geodesics on the modular surface, and Duke's theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The distribution of closed geodesics on the modular surface, and Duke's theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-687897