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arXiv · 2206.12377

A proof of Erdős's $B+B+t$ conjecture

Bryna Kra·Joel Moreira·Florian K. Richter·Donald Robertson
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Abstract

We show that every set $A$ of natural numbers with positive upper density can be shifted to contain the restricted sumset $\{b_1 + b_2 : b_1, b_2\in B \text{ and } b_1 \neq b_2 \}$ for some infinite set $B \subset A$.

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Bryna Kra, Joel Moreira, Florian K. Richter, Donald Robertson. 2023-11-06. A proof of Erdős's $B+B+t$ conjecture. https://arxiv.org/abs/2206.12377

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