Prime geodesics and averages of the Zagier L-series

DOI10.1017/S0305004121000384zbMath1502.11095arXiv1912.05277OpenAlexW3163716393MaRDI QIDQ5087134

Olga G. Balkanova, Morten S. Risager, Dmitriy A. Frolenkov

Publication date: 8 July 2022

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.05277

zbMATH Keywords

subconvexityprime geodesic theoremZagier's \(L\)-series

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) 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 (3)

Spectral decomposition formula and moments of symmetric square $L$-functions ⋮ Spectral exponential sums on hyperbolic surfaces ⋮ The prime geodesic theorem for \(\mathrm{PSL}2(\mathbb{Z}[i)\) and spectral exponential sums]

Uses Software

• DLMF

Cites Work

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