3 citations · 3 across the 5 of their papers we have counts for
8 papers
The Limiting Distribution of Elliptic Dedekind Sums
Matteo Bordignon, Paolo Minelli
We consider elliptic Dedekind sums that were introduced by Sczech as generalizations of the classical ones to complex lattices. We prove that these sums -- suitably normalized -- h…
Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros
Alessandro Fazzari, Maxim Gerspach, Paolo Minelli
We consider the value distribution of the logarithm of the Riemann zeta function on the critical line, weighted by the local statistics of zeta zeros. We show that, with appropriat…
Discrete -results for the Riemann zeta function
Paolo Minelli, Athanasios Sourmelidis
We study lower bounds for the Riemann zeta function along vertical arithmetic progressions in the right-half of the critical strip. We show that the lower bounds obtained in…
On restricted averages of Dedekind sums
Paolo Minelli, Athanasios Sourmelidis, Marc Technau
We investigate the averages of Dedekind sums over rational numbers in the set for fixed . In p…
Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums
Paolo Minelli, Athanasios Sourmelidis, Marc Technau
We investigate the number of steps taken by three variants of the Euclidean algorithm on average over Farey fractions. We show asymptotic formulae for these averages restricted to…
On small fractional parts of perturbed polynomials
Paolo Minelli
Questions concerning small fractional parts of polynomials and pseudo-polynomials have a long history in analytic number theory. In this paper, we improve on earlier work by Madrit…
On small fractional parts of polynomial-like functions
Paolo Minelli
In a recent paper, Madritsch and Tichy established Diophantine inequalities for the fractional parts of polynomial-like functions. In particular, for where is a…
On the number of gaps of sequences with Poissonian Pair Correlations
Christoph Aistleitner, Thomas Lachmann, Paolo Leonetti +1
A sequence on the torus is said to have Poissonian pair correlations if for all reals , as . It…