Additive Systems and a Theorem of de Bruijn

Melvyn B. Nathanson

Type: Article

Publication Date: 2013-12-08

Citations: 8

DOI: https://doi.org/10.4169/amer.math.monthly.121.01.005

Abstract

This paper proves a theorem of de Bruijn that classifies additive systems for the nonnegative integers, that is, families A = (Ai)iεI of sets of nonnegative integers, each set containing 0, such that every nonnegative integer can be written uniquely in the form , with ai ε Ai for all i, and ai ≠for only finitely many i.

Locations

American Mathematical Monthly - View
arXiv (Cornell University) - PDF

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