The second moment for counting prime geodesics

DOI10.3792/pjaa.96.002zbMath1456.11166OpenAlexW2998330223MaRDI QIDQ1988505

Ikuya Kaneko

Publication date: 23 April 2020

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

Full work available at URL: https://projecteuclid.org/euclid.pja/1577264417

zbMATH Keywords

exponential sums\(L\)-functionsKloosterman sumssubconvexityprime geodesic theoremspectral summation formulæ

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (2)

Gallagherian prime geodesic theorem in higher dimensions ⋮ The prime geodesic theorem for \(\mathrm{PSL}2(\mathbb{Z}[i)\) and spectral exponential sums]

Cites Work

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