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On the prime geodesic theorem for hyperbolic 3‐manifolds

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Publication:4557378
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DOI10.1002/mana.201700190zbMath1441.11224arXiv1705.05626OpenAlexW2964045052WikidataQ57621750 ScholiaQ57621750MaRDI QIDQ4557378

Muharem Avdispahić

Publication date: 29 November 2018

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05626


zbMATH Keywords

hyperbolic 3-manifoldsSelberg zeta functionprime geodesic theorem


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) General geometric structures on low-dimensional manifolds (57M50) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)


Related Items (3)

Gallagherian PGT on some compact Riemannian manifolds of negative curvature ⋮ Gallagherian prime geodesic theorem in higher dimensions ⋮ The prime geodesic theorem for \(\mathrm{PSL}2(\mathbb{Z}[i)\) and spectral exponential sums]




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