On pairs of prime geodesics with fixed homology difference

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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.
19 pages, Corrected typos, corrected MSC-class

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Number Theory, Spectral Theory, 53C22; 11F72

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http://salesiana.dossiersoluciones.com/handle/123456789/111541

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604275
 http://arxiv.org/abs/math/0604275

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arXiv