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More differences than multiple sums (1601.04146v1)
Published 16 Jan 2016 in math.NT and math.CO
Abstract: 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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