Title

On the magnitude of the sum of bases of the natural numbers

Abstract

We construct two bases of the natural numbers B1 and B2, each of order two, such that (B1 + B^)(n)^ n3\t+c\voogn) p o r a j o w e r estimate, it is proved that if B1 and B2 are two bases, each of order two, then (B1-\ -B2)(ri) ≯ nm. Generalisations to sums of bases of order h ≯ 2 are also given. © 1993 London Mathematical Society.

Publication Title

Bulletin of the London Mathematical Society

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