## Moscow Journal of Combinatorics and Number Theory

### Convex sequences may have thin additive bases

#### 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.

#### Article information

Source
Mosc. J. Comb. Number Theory, Volume 8, Number 1 (2019), 43-46.

Dates
First available in Project Euclid: 3 December 2018

https://projecteuclid.org/euclid.moscow/1543854867

Digital Object Identifier
doi:10.2140/moscow.2019.8.43

Mathematical Reviews number (MathSciNet)
MR3864306

Zentralblatt MATH identifier
07063261

Subjects