Refinement of prime geodesic theorem

DOI10.3792/pjaa.92.77zbMath1417.11092OpenAlexW2483378140MaRDI QIDQ503100

Shin-ya Koyama

Publication date: 11 January 2017

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.92.77

zbMATH Keywords

arithmetic groupsprime geodesic theoremSelberg zeta functions

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Other Dirichlet series and zeta functions (11M41) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (6)

Gallagherian PGT on some compact Riemannian manifolds of negative curvature ⋮ Mean square in the prime geodesic theorem ⋮ On Koyama's refinement of the prime geodesic theorem ⋮ Gallagherian prime geodesic theorem in higher dimensions ⋮ Prime geodesic theorem for the modular surface ⋮ The prime geodesic theorem for \(\mathrm{PSL}2(\mathbb{Z}[i)\) and spectral exponential sums]

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