From the 1 of 4 linked papers with an AI index.
4 papers
Area correlations related to lattice points in discs
Matteo Bordignon, Pär Kurlberg
The paper investigates the statistical behavior of areas determined by lattice points near the boundary of large circles, using circle flows on tori, and proves a mixing result for…
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…
An explicit version of Chen's theorem and the linear sieve
Matteo Bordignon, Daniel R. Johnston, Valeriia Starichkova
Drawing inspiration from the work of Nathanson and Yamada we prove that every even integer larger than can be written as the sum of a prime and the product of…
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…