Joel Moreira

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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.DS2026★ 8 cited

Multiple ergodic averages along functions from a Hardy field: convergence, recurrence and combinatorial applications

Vitaly Bergelson, Joel Moreira, Florian K. Richter

We obtain new results pertaining to convergence and recurrence of multiple ergodic averages along functions from a Hardy field. Among other things, we confirm some of the conjectur…

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.DS2024

Infinite Sumsets in Sets with Positive Density

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

Motivated by questions asked by Erdos, we prove that any set $A \subset N$ with positive upper density contains, for any $k \in N$ , a sumset $B_{1} + \dots + B_{k}$ , where…

A short proof of Erdős's B+C conjecture

Multiple ergodic averages along functions from a Hardy field: convergence, recurrence and combinatorial applications

The Density Finite Sums Theorem

Infinite Sumsets in Sets with Positive Density

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