The Prime Geodesic Theorem for $\mathrm{PSL}_{2}(\mathbb{Z}[i])$ and Spectral Exponential Sums

DOI10.2140/ANT.2022.16.1845zbMath1512.11065arXiv1903.05111MaRDI QIDQ6315484

Ikuya Kaneko

Publication date: 12 March 2019

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)

This page was built for publication: The Prime Geodesic Theorem for $\mathrm{PSL}_{2}(\mathbb{Z}[i])$ and Spectral Exponential Sums