Inverse problems for minimal complements and maximal supplements

DOI10.1016/j.jnt.2020.10.009zbMath1467.11085arXiv2006.00534OpenAlexW3117750153MaRDI QIDQ2660321

Noah Kravitz, Noga Alon, Matt Larson

Publication date: 29 March 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.00534

zbMATH Keywords

additive combinatoricsprobabilistic combinatoricsminimal complement

Mathematics Subject Classification ID

Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40) Inverse problems of additive number theory, including sumsets (11P70)

Related Items (4)

On eventually periodic sets as minimal additive complements ⋮ Sets arising as minimal additive complements in the integers ⋮ On non-minimal complements ⋮ Infinite co-minimal pairs involving lacunary sequences and generalisations to higher dimensions

Cites Work

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• Large sets in finite fields are sumsets
• An infinite Sidon sequence
• On minimal additive complements of integers
• Additive completion and disjoint translations
• A note on minimal additive complements of integers
• PROBLEMS IN ADDITIVE NUMBER THEORY, IV: NETS IN GROUPS AND SHORTEST LENGTH g-ADIC REPRESENTATIONS
• On a Problem of Nathanson Related to Minimal Additive Complements

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