Prime geodesic theorem for the Picard manifold

DOI10.1016/j.aim.2020.107377zbMath1475.11102arXiv1804.00275OpenAlexW3080879694MaRDI QIDQ2213776

Olga G. Balkanova, Dmitriy A. Frolenkov

Publication date: 3 December 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.00275

zbMATH Keywords

\(L\)-functionGaussian integersMaass cusp formprime geodesic theoremPicard manifoldRankin-Selberg functionspectral exponential sum

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gauss and Kloosterman sums; generalizations (11L05) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (4)

Gallagherian PGT on some compact Riemannian manifolds of negative curvature ⋮ Second moment of the prime geodesic theorem for \(\mathrm{PSL}(2, \mathbb{Z}[i)\)] ⋮ On Kuznetsov-Bykovskii's formula of counting prime geodesics ⋮ The second moment of symmetric square L-functions over Gaussian integers

Uses Software

• DLMF

Cites Work

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