Congruence classes and maximal nonbases

DOI10.1007/S10474-020-01075-WzbMath1463.11022arXiv2004.02367OpenAlexW3044064050MaRDI QIDQ2216930

Melvyn B. Nathanson

Publication date: 18 December 2020

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.02367

zbMATH Keywords

additive number theoryasymptotic basisasymptotic nonbasismaximal asymptotic nonbasis

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Congruences; primitive roots; residue systems (11A07) Density, gaps, topology (11B05) Additive bases, including sumsets (11B13) Representation functions (11B34)

Cites Work

• Partitions of the natural numbers into infinitely oscillating bases and nonbases
• Bases and nonbases of square-free integers
• Minimal bases and maximal nonbases in additive number theory
• A NOTE ON ASYMPTOTIC NONBASES
• Propriétés extrémales de bases additives
• Problems in additive number theory, III
• Maximal Asymptotic Nonbases
• Oscillations of Bases for the Natural Numbers
• s -Maximal Nonbases of Density Zero
• Asymptotic Nonbases Which are Not Subsets of Maximal Asymptotic Nonbases
• Nonbases of Density Zero not Contained in Maximal Nonbases
• A construction of maximal asymptotic nonbases
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