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arxiv: 1601.04146 · v1 · pith:HRY3265Qnew · submitted 2016-01-16 · 🧮 math.NT · math.CO

More differences than multiple sums

classification 🧮 math.NT math.CO
keywords sumscomparedifferencedifferencesexistencefoldmultiplesets
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We compare the size of the difference set $A-A$ to that of the set $kA$ of $k$-fold sums. We show the existence of sets such that $|kA| < |A-A|^{a_k}$ with $a_k<1$.

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