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

DOI10.2140/ant.2022.16.1845OpenAlexW4311032041MaRDI QIDQ2104866

Ikuya Kaneko

Publication date: 8 December 2022

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.05111

zbMATH Keywords

\(L\)-functionsSelberg trace formulaKloosterman sumssubconvexitysecond momentprime geodesic theoremspectral exponential sumsKuznetsof formulaPicard manifold

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 (1)

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

Cites Work

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