On von Koch theorem for \(\mathrm{PSL}(2,\mathbb{Z})\)

DOI10.1007/s40840-020-01053-zzbMath1468.11182OpenAlexW3108612502MaRDI QIDQ2045248

Muharem Avdispahić

Publication date: 12 August 2021

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/s40840-020-01053-z

zbMATH Keywords

modular groupSelberg zeta functionprime geodesic theorem

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)

Cites Work

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• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• The cubic moment of central values of automorphic \(L\)-functions
• Mean square in the prime geodesic theorem
• Gallagherian \(PGT\) on \(\mathrm{PSL}(2,\mathbb{Z})\)
• The prime geodesic theorem in square mean
• Gallagherian prime geodesic theorem in higher dimensions
• ON THE ERROR TERM IN THE PRIME GEODESIC THEOREM
• Prime geodesic theorem.
• Some consequences of the Riemann hypothesis
• The prime geodesic theorem
• Prime geodesic theorem for the modular surface
• Bounds for a spectral exponential sum

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