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Additive and multiplicative Sidon sets
Published 24 Mar 2021 in math.CO and math.NT | (2103.13066v1)
Abstract: We give a construction of a set $A \subset \mathbb N$ such that any subset $A' \subset A$ with $|A'| \gg |A|{2/3}$ is neither an additive nor multiplicative Sidon set. In doing so, we refute a conjecture of Klurman and Pohoata.
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