Prime geodesic theorem for higherdimensional hyperbolic manifold
Author:
Maki Nakasuji
Journal:
Trans. Amer. Math. Soc. 358 (2006), 32853303
MSC (2000):
Primary 11M36, 11F72
Published electronically:
March 24, 2006
MathSciNet review:
2218976
Fulltext PDF Free Access
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Abstract: For a dimensional hyperbolic manifold , we consider an estimate of the error term of the prime geodesic theorem. Put the fundamental group of to be a discrete subgroup of with cofinite volume. When the contribution of the discrete spectrum of the LaplaceBeltrami operator is larger than that of the continuous spectrum in Weyl's law, we obtained a lower estimate as goes to .
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Additional Information
Maki Nakasuji
Affiliation:
Department of Mathematics, Keio University, 3141 Hiyoshi, 2238522, Japan
Email:
nakasuji@math.keio.ac.jp
DOI:
http://dx.doi.org/10.1090/S0002994706041225
PII:
S 00029947(06)041225
Keywords:
Prime geodesic theorem,
Selberg zeta function,
Weyl's law
Received by editor(s):
April 22, 2003
Published electronically:
March 24, 2006
Article copyright:
© Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
