Gallagherian prime geodesic theorem in higher dimensions

DOI10.1007/s40840-019-00849-yzbMath1442.11127OpenAlexW2981233422WikidataQ126993018 ScholiaQ126993018MaRDI QIDQ2186272

Muharem Avdispahić, Zenan Šabanac

Publication date: 9 June 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-019-00849-y

zbMATH Keywords

hyperbolic manifoldsprime geodesic theoremSelberg and Ruelle zeta functions

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)

Related Items (2)

Gallagherian PGT on some compact Riemannian manifolds of negative curvature ⋮ On von Koch theorem for \(\mathrm{PSL}(2,\mathbb{Z})\)

Cites Work

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• Prime geodesic theorem in the 3-dimensional hyperbolic space
• Errata and addendum to “On the prime geodesic theorem for hyperbolic ‐manifolds” Math. Nachr. 291 (2018), no. 14–15, 2160–2167

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