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- W2091236617 abstract "We obtain a lower bound for the error term of the prime geodesic theorem for hyperbolic 3-manifolds. Our result is $Omega_{pm}(x(loglog x)^{1/3} / log x)$. We also generalize Sarnak's upper bound $O(x^{(5/3) + varepsilon})$ to compact manifolds." @default.
- W2091236617 created "2016-06-24" @default.
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- W2091236617 date "2001-09-01" @default.
- W2091236617 modified "2023-10-16" @default.
- W2091236617 title "Prime geodesic theorem via the explicit formula of $Psi $ for hyperbolic 3-manifolds" @default.
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- W2091236617 doi "https://doi.org/10.3792/pjaa.77.130" @default.
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