Convex sequences may have thin additive bases
classification
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keywords
convexsizeadditiveansweringarbitrarilybasesconstructcontains
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For a fixed $c > 0$ we construct an arbitrarily large set $B$ of size $n$ such that its sum set $B+B$ contains a convex sequence of size $cn^2$, answering a question of Hegarty.
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