Giacomo Cherubini

activity

20152025

most citedMean square in the prime geodesic theorem

13 citations · 27 across the 10 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.NT2017

Prime Geodesic Theorem in the 3-dimensional Hyperbolic Space

Olga Balkanova, Dimitrios Chatzakos, Giacomo Cherubini +2

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

math.NT2017★ 13 cited

Mean square in the prime geodesic theorem

Giacomo Cherubini, João Guerreiro

We prove upper bounds for the mean square of the remainder in the prime geodesic theorem, for every cofinite Fuchsian group, which improve on average on the best known pointwise bo…