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


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