Joel Moreira

activity

20182026

most citedProblems on infinite sumset configurations in the integers and beyond

3 citations · 3 across the 3 of their papers we have counts for

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math.DS2026

A short proof of Erdős's $B + C$ conjecture

Bryna Kra, Joel Moreira, Florian K. Richter +1

We give a short proof of the fact that every set of natural numbers with positive upper Banach density contains the sum of two infinite sets. The approach simplifies earlier existi…

math.DS2025

The Density Finite Sums Theorem

Bryna Kra, Joel Moreira, Florian K. Richter +1

For any set $A$ of natural numbers with positive upper Banach density and any $k \geq 1$ , we show the existence of an infinite set $B \subset N$ and a shift $t \geq 0$ such th…

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…

A short proof of Erdős's B+C conjecture

The Density Finite Sums Theorem

Optimal lower bounds for multiple recurrence

A short proof of Erdős's $B + C$ conjecture