Oscillations of bases for the natural numbers
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- by Paul Erdős and Melvyn B. Nathanson PDF
- Proc. Amer. Math. Soc. 53 (1975), 253-258 Request permission
Abstract:
Let $A$ be a set of positive integers. Then $A$ is a basis if every sufficiently large integer $n$ can be written in the form $n = {a_i} + {a_j}$ with ${a_i},\;{a_j}\epsilon A$. Otherwise, $A$ is a nonbasis. In this paper we construct sets which oscillate from basis to nonbasis to basis or from nonbasis to basis to nonbasis under finite perturbations of the sets.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 253-258
- MSC: Primary 10L05
- DOI: https://doi.org/10.1090/S0002-9939-1975-0384739-8
- MathSciNet review: 0384739