Ruelle zeta function and Prime geodesic theorem for hyperbolic manifolds with cusps
نویسنده
چکیده
For a d-dimensional real hyperbolic manifold with cusps, we obtain more refined error terms in the prime geodesic theorem (PGT) using the Ruelle zeta function instead of the Selberg zeta function. To do this, we prove that the Ruelle zeta function over this type manifold is a meromorphic function of order d over C.
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تاریخ انتشار 2010