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 2018Show all

2 papers · 1 filter

math.NT2018

Second Moment of the Prime Geodesic Theorem for $PSL (2, Z [i])$

Dimitrios Chatzakos, Giacomo Cherubini, Niko Laaksonen

The remainder $E_{Γ} (X)$ in the Prime Geodesic Theorem for the Picard group $Γ = PSL (2, Z [i])$ is known to be bounded by $O (X^{3/2 + ε})$ under the assumption of the Li…

math.NT2018

A spectral universality theorem for Maass $L$ -functions

Giacomo Cherubini, Alberto Perelli

We show that for a positive proportion of Laplace eigenvalues $λ_{j}$ the associated Hecke-Maass $L$ -functions $L (s, u_{j})$ approximate with arbitrary precision any target function $f(…

Second Moment of the Prime Geodesic Theorem for PSL(2,Z[i])

A spectral universality theorem for Maass L-functions

Second Moment of the Prime Geodesic Theorem for $PSL (2, Z [i])$

A spectral universality theorem for Maass $L$ -functions