#### Vol. 8, No. 1, 2019

 Recent Issues Volume 8, Issue 2 Volume 8, Issue 1
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Convex sequences may have thin additive bases

### Imre Z. Ruzsa and Dmitrii Zhelezov

Vol. 8 (2019), No. 1, 43–46
DOI: 10.2140/moscow.2019.8.43
##### Abstract

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 $c{n}^{2}$, answering a question of Hegarty.