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…
A note on medium and short character sums
Matteo Bordignon
Following the work of Hildebrand we improve the Po'lya- Vinogradov inequality in a specific range, we also give a general result that shows its dependency on Burgess bound and at l…
Explicit upper bounds for the number of primes simultaneously representable by any set of irreducible polynomials
Matteo Bordignon, Ethan Simpson Lee
Using an explicit version of Selberg's upper sieve, we obtain explicit upper bounds for the number of such that a non-empty set of irreducible polynomials with i…
An explicit version of Chen's theorem assuming the Generalized Riemann Hypothesis
Matteo Bordignon, Valeriia Starichkova
We prove that assuming the Generalized Riemann Hypothesis every even integer larger than can be written as the sum of a prime number and a number that has at mo…
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…
Medium-sized values for the Prime Number Theorem for primes in arithmetic progression
Matteo Bordignon
We give two improved explicit versions of the prime number theorem for primes in arithmetic progression: the first isolating the contribution of the Siegel zero and the second comp…
Approximated solution of a differential-difference equation arising in number theory and applications to the linear sieve
Matteo Bordignon
We provide elementary and accurate numerical solutions to the differential-difference equation, which improves an explicit version of the linear sieve given by Nathanson.
Explicit Improvements to the Burgess Bound Via Pólya-Vinogradov
Matteo Bordignon, Forrest Francis
We make explicit a theorem of Fromm and Goldmakher [arXiv:1706.03002], which states that one can improve Burgess' bound for short character sums simply by improving the leading con…
A Pólya--Vinogradov inequality for short character sums
Matteo Bordignon
In this paper we obtain a variation of the Pólya--Vinogradov inequality with the sum restricted to a certain height. Assume to be a primitive character modulo , and $…
Partial Gaussian sums and the Pólya--Vinogradov inequality for primitive characters
Matteo Bordignon
In this paper we obtain a new fully explicit constant for the Pólya-Vinogradov inequality for primitive characters. Given a primitive character modulo , we prove the followi…
An explicit Pólya-Vinogradov inequality via Partial Gaussian sums
Matteo Bordignon, Bryce Kerr
In this paper we obtain a new fully explicit constant for the Pólya-Vinogradov inequality for squarefree modulus. Given a primitive character to squarefree modulus , we prov…
Explicit bounds on exceptional zeroes of Dirichlet L-function II
Matteo Bordignon
This paper improves the upper bound for the exceptional zeroes of Dirichlet L-functions with even characters. The result is obtained by improving on explicit estimate for …
Explicit bounds on exceptional zeroes of Dirichlet -functions
Matteo Bordignon
The aim of this paper is to improve the upper bound for the exceptional zeroes of Dirichlet -functions. We do this by improving on explicit estimate for for …