PROBLEMS IN ADDITIVE NUMBER THEORY, IV: NETS IN GROUPS AND SHORTEST LENGTH g-ADIC REPRESENTATIONS

DOI10.1142/S1793042111004940zbMath1252.11007MaRDI QIDQ3115732

Melvyn B. Nathanson

Publication date: 10 February 2012

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

zbMATH Keywords

additive basesgeometric group theorydigital problems

Mathematics Subject Classification ID

Geometric group theory (20F65) Metric spaces, metrizability (54E35) Other combinatorial number theory (11B75) Metric geometry (51F99) Radix representation; digital problems (11A63) Additive bases, including sumsets (11B13) Representation functions (11B34)

Related Items (17)

On minimal additive complements of integers ⋮ Infinite Co-minimal Pairs in the Integers and Integral Lattices ⋮ Limit Points of Nathanson’s Lambda Sequences ⋮ Inverse problems for minimal complements and maximal supplements ⋮ On additive co-minimal pairs ⋮ Asymptotic complements in the integers ⋮ On additive complements. III ⋮ A note on minimal additive complements of integers ⋮ On eventually periodic sets as minimal additive complements ⋮ Sets arising as minimal additive complements in the integers ⋮ An exploration of Nathanson's \(g\)-adic representations of integers ⋮ On infinite additive complements ⋮ On minimal complements in groups ⋮ On non-minimal complements ⋮ Minimal additive complements in finitely generated abelian groups ⋮ On a conjecture of Sárközy and Szemerédi ⋮ Infinite co-minimal pairs involving lacunary sequences and generalisations to higher dimensions

Cites Work

• Minimal bases and maximal nonbases in additive number theory
• Additive Number Theory and the Ring of Quantum Integers

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