Prime geodesic theorem via the explicit formula of $\Psi $ for hyperbolic 3-manifolds
Work
Year: 2001
Type: article
Abstract: We obtain a lower bound for the error term of the prime geodesic theorem for hyperbolic 3-manifolds. Our result is $\Omega_{\pm}(x(\log\log x)^{1/3} / \log x)$. We also generalize Sarnak's upper bound... more
Author Maki Nakasuji
Institution Keio University
Cites: 9
Cited by: 17
Related to: 10
FWCI: 1.665
Citation percentile (by year/subfield): 80.77
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze