On pairs of prime geodesics with fixed homology difference
Number Theory
2007-05-23 v2 Spectral Theory
Abstract
We exhibit the analogy between prime geodesics on hyperbolic Riemann surfaces and ordinary primes. We present new asymptotic counting results concerning pairs of prime geodesics whose homology difference is fixed.
Cite
@article{arxiv.math/0604275,
title = {On pairs of prime geodesics with fixed homology difference},
author = {Morten S. Risager},
journal= {arXiv preprint arXiv:math/0604275},
year = {2007}
}
Comments
19 pages, Corrected typos, corrected MSC-class