Joel Moreira

collaborators

3 papers

math.CO2019

On Rado conditions for nonlinear Diophantine equations

Jordan Mitchell Barrett, Martino Lupini, Joel Moreira

Building on previous work of Di Nasso and Luperi Baglini, we provide general necessary conditions for a Diophantine equation to be partition regular. These conditions are inspired…

math.DS2018

Optimal lower bounds for multiple recurrence

Sebastián Donoso, Anh N. Le, Joel Moreira +1

Let $(X, B, μ, T)$ be an ergodic measure preserving system, $A \in B$ and $ε > 0$ . We study the largeness of sets of the form \begin{equation*} \begin{split} S = \l…

math.CO2018

A proof of a sumset conjecture of Erdős

Joel Moreira, Florian Karl Richter, Donald Robertson

In this paper we show that every set $A \subset N$ with positive density contains $B + C$ for some pair $B, C$ of infinite subsets of $N$ , settling a conjecture of E…