Prime Geodesic Theorem in the 3-dimensional Hyperbolic Space

Olga Balkanova, Dimitrios Chatzakos, Giacomo Cherubini +2

For $\Gamma$ a cofinite Kleinian group acting on ${\mathbb{H}}^3$, we study the Prime Geodesic Theorem on $M=\Gamma \backslash {\mathbb{H}}^3$, which asks about the asymptotic behaviour of length…