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2019 Convex sequences may have thin additive bases
Imre Z. Ruzsa, Dmitrii Zhelezov
Mosc. J. Comb. Number Theory 8(1): 43-46 (2019). 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.

Citation

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Imre Z. Ruzsa. Dmitrii Zhelezov. "Convex sequences may have thin additive bases." Mosc. J. Comb. Number Theory 8 (1) 43 - 46, 2019. https://doi.org/10.2140/moscow.2019.8.43

Information

Received: 1 December 2017; Published: 2019
First available in Project Euclid: 3 December 2018

zbMATH: 07063261
MathSciNet: MR3864306
Digital Object Identifier: 10.2140/moscow.2019.8.43

Subjects:
Primary: 11B13

Rights: Copyright © 2019 Mathematical Sciences Publishers

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