Bases and nonbases of square-free integers

DOI10.1016/0022-314X(79)90039-8zbMath0409.10042OpenAlexW2161436443MaRDI QIDQ1258774

Melvyn B. Nathanson

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-314x(79)90039-8

zbMATH Keywords

square-free numbersminimal basisnonbasis

Mathematics Subject Classification ID

Additive bases, including sumsets (11B13)

Related Items (2)

Minimal asymptotic bases for the natural numbers ⋮ Congruence classes and maximal nonbases

Cites Work

• Partitions of the natural numbers into infinitely oscillating bases and nonbases
• On maximal asymptotic nonbases of zero density
• Minimal bases and maximal nonbases in additive number theory
• The number of representations of an integer as a sum of two square-free numbers
• Ein Beitrag zur Theorie der Minimalbasen.
• 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
• Eine Bermerkung über periodische Minimalbasen für die Menge der nichtnegativen ganzen Zahlen.
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