Prime geodesic theorem for higher-dimensional hyperbolic manifold

DOI10.1090/S0002-9947-06-04122-5zbMath1157.11037OpenAlexW1488426589MaRDI QIDQ5469185

Maki Nakasuji

Publication date: 17 May 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-04122-5

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

• Prime geodesic theorem via the explicit formula of \(\Psi\) for hyperbolic 3-manifolds
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• The length spectra of some compact manifolds of negative curvature
• Eisenstein matrix and existence of cusp forms in rank one symmetric spaces
• Spherical Functions on a Semisimple Lie Group, I
• Prime geodesic theorem for hyperbolic 3-manifolds: general cofinite cases
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