Ruelle zeta function for odd dimensional hyperbolic manifolds with cusps
نویسندگان
چکیده
منابع مشابه
Ruelle zeta function and Prime geodesic theorem for hyperbolic manifolds with cusps
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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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 2008
ISSN: 0386-2194
DOI: 10.3792/pjaa.84.1