English

The prime geodesic theorem for higher rank spaces

Differential Geometry 2007-05-23 v6

Abstract

The prime geodesic theorem for regular geodesics in a higher rank locally symmetric space is proved. An application to class numbers is given. The proof relies on a Lefschetz formula that is based on work of Andreas Juhl.

Keywords

Cite

@article{arxiv.math/0208206,
  title  = {The prime geodesic theorem for higher rank spaces},
  author = {Anton Deitmar},
  journal= {arXiv preprint arXiv:math/0208206},
  year   = {2007}
}

Comments

LaTEX, 31 pages