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4 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…
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…