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A proof of Erdős's $B+B+t$ conjecture

Published 24 Jun 2022 in math.DS, math.CO, and math.NT | (2206.12377v2)

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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