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Is this set of numbers independent/Sidon?

Given a subset $E\subset \mathbb N\setminus \{0\}$ of integers, we say that $E$ is independent if for any choice of $k\in \mathbb N$, $\epsilon_i\in\{-1,0,1\}$ for $i=1,\dots,k$, if $\Sigma_{i=1}^k\ep …
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