Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

A problem in additive number theory

Jörg Brüderna1

a1 Geismar Landstrasse 97, 3400 Göttingen, West Germany

The determination of the minimal s such that all large natural numbers n admit a representation as


is an interesting problem in the additive theory of numbers and has a considerable literature, For historical comments the reader is referred to the author's paper [2] where the best currently known result is proved. The purpose here is a further improvement.

(Received May 06 1987)