8 citations · 12 across the 15 of their papers we have counts for
18 papers
Mixing of the BCZ Map
Albert Artiles, Andrew Best, Matteo Bordignon
We prove that the Boca--Cobeli--Zaharescu (BCZ) map is strongly mixing with respect to normalized Lebesgue measure on the BCZ triangle.
Area correlations related to lattice points in discs
Matteo Bordignon, Pär Kurlberg
Motivated by the Lester-Wigman vanishing area correlation conjecture for lattice points near the boundary of circles of growing radius, we investigate the dynamics of circle flows…
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…
On products of sets of natural density one
Sandro Bettin, Matteo Bordignon, Alessandro Fazzari
In a previous work, Bettin, Koukoulopoulos, and Sanna prove that if two sets of natural numbers and have natural density , then their product set $A \cdot B := \{ab : a…
Coprime-Universal Quadratic Forms
Matteo Bordignon, Giacomo Cherubini
Given a prime , we characterize positive-definite integral quadratic forms that are coprime-universal for , i.e. representing all positive integers coprime to . This gen…
Weyl sums with multiplicative coefficients and joint equidistribution
Matteo Bordignon, Cynthia Bortolotto, Bryce Kerr
In this paper we generalize a result of Montgomery and Vaughan regarding exponential sums with multiplicative coefcients to the setting of Weyl sums. As applications, we establish…