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arXiv · 2004.11774

Ambient prime geodesic theorems on hyperbolic 3-manifolds

Lindsay Dever·Djordje Milićević
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Abstract

We prove prime geodesic theorems counting primitive closed geodesics on a compact hyperbolic 3-manifold with length and holonomy in prescribed intervals, which are allowed to shrink. Our results imply effective equidistribution of holonomy and have both the rate of shrinking and the strength of the error term fully symmetric in length and holonomy.

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Lindsay Dever, Djordje Milićević. 2020-04-24. Ambient prime geodesic theorems on hyperbolic 3-manifolds. https://doi.org/10.1093/imrn%2Frnab048

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