Horospheres and Farey fractions
Dynamical Systems
2010-03-31 v2 Number Theory
Abstract
We embed multidimensional Farey fractions in large horospheres and explain under which conditions they become uniformly distributed in the ambient homogeneous space. This question has recently been investigated in the case of SL(d,Z) to prove the asymptotic distribution of Frobenius numbers. The present paper extends these studies to general lattices in SL(d,R).
Keywords
Cite
@article{arxiv.1003.4613,
title = {Horospheres and Farey fractions},
author = {Jens Marklof},
journal= {arXiv preprint arXiv:1003.4613},
year = {2010}
}
Comments
10 pages