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Let $A$ be a finite Sidon set and $A+A=\{s_1<\cdots<s_t\}$. Is it true that \[\frac{1}{t}\sum_{1\leq i<t}(s_{i+1}-s_i)^2 \to \infty\] as $\lvert A\rvert\to \infty$?
#153
:
[ESS94]
sidon sets
A similar problem can be asked for infinite Sidon sets.
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