On pairs of prime geodesics with fixed homology difference

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111541We 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-classNumber TheorySpectral Theory53C22; 11F72On pairs of prime geodesics with fixed homology differencetext