ON THE ERROR TERM IN THE PRIME GEODESIC THEOREM

DOI10.4134/BKMS.2012.49.2.367zbMath1333.11087WikidataQ57621838 ScholiaQ57621838MaRDI QIDQ2880476

Dženan Gušić, Muharem Avdispahić

Publication date: 13 April 2012

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=409353

zbMATH Keywords

Selberg zeta functionhyperbolic manifoldsHodge Laplaciancuspsprime geodesic theoremRuelle zeta function

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) 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) Geodesic flows in symplectic geometry and contact geometry (53D25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (6)

Gallagherian PGT on some compact Riemannian manifolds of negative curvature ⋮ On Koyama's refinement of the prime geodesic theorem ⋮ Gallagherian \(PGT\) on \(\mathrm{PSL}(2,\mathbb{Z})\) ⋮ Gallagherian prime geodesic theorem in higher dimensions ⋮ Order of Selberg's and Ruelle's zeta functions for compact even-dimensional locally symmetric spaces ⋮ On von Koch theorem for \(\mathrm{PSL}(2,\mathbb{Z})\)

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