1 citations · 2 across the 3 of their papers we have counts for
7 papers
On the variance of the nodal volume of arithmetic random waves
Giacomo Cherubini, Niko Laaksonen
Rudnick and Wigman (Ann. Henri Poincaré, 2008; arXiv:math-ph/0702081) conjectured that the variance of the volume of the nodal set of arithmetic random waves on the -dimensional…
Bykovskii-type theorem for the Picard manifold
Antal Balog, András Biró, Giacomo Cherubini +1
We generalise a result of Bykovskii to the Gaussian integers and prove an asymptotic formula for the prime geodesic theorem in short intervals on the Picard manifold. Previous work…
Second Moment of the Prime Geodesic Theorem for
Dimitrios Chatzakos, Giacomo Cherubini, Niko Laaksonen
The remainder in the Prime Geodesic Theorem for the Picard group is known to be bounded by under the assumption of the Li…
Prime Geodesic Theorem in the 3-dimensional Hyperbolic Space
Olga Balkanova, Dimitrios Chatzakos, Giacomo Cherubini +2
For a cofinite Kleinian group acting on , we study the Prime Geodesic Theorem on , which asks about the asymptotic behaviour of length…
Quantum Limits of Eisenstein Series in H^3
Niko Laaksonen
We study the quantum limits of Eisenstein series off the critical line for , where is an imaginary quadratic field of…
Lattice Point Counting in Sectors of Hyperbolic 3-space
Niko Laaksonen
Let be a cocompact discrete subgroup of and denote by the three dimensional upper half-space. For a , we count the…
On the Value Distribution of Two Dirichlet L-functions
Niko Laaksonen, Yiannis N. Petridis
We look at the values of two Dirichlet -functions at the Riemann zeros (or a horizontal shift of them). Off the critical line we show that for a positive proportion of these poi…