## Sums of three cubes.(English)Zbl 0562.10022

It is shown that the number R(N) of positive integers not exceeding N which are the sum of 3 cubes satisfies $$R(N)\gg N^{8/9-\epsilon}$$, improving the exponent of 47/54-$$\epsilon$$ due to Davenport. In contrast to previous results, a form of the Hardy-Littlewood method is used.
Reviewer: M.M.Dodson

### MSC:

 11P05 Waring’s problem and variants 11P55 Applications of the Hardy-Littlewood method 11D85 Representation problems
Full Text: