On pairs of prime geodesics with fixed homology difference

Details On pairs of prime geodesics with fixed homology difference On pairs of prime geodesics with fixed homology difference

2006-04-12

arxiv.org/abs/math/0604275v2

Mathematics

Number Theory

19 pages, Corrected typos, corrected MSC-class

Scientific paper

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.

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