Every strict sum of cubes in is a strict sum of 6 cubes

  • Luis H. Gallardo

    Université de Brest, France

Abstract

It is easy to see that an element is a strict sum of cubes if and only if where

We say that is a “strict” sum of cubes if for each , and we define as the least such that every element of is a strict sum of cubes. The main result is that

This improves an earlier result of the author that .

Cite this article

Luis H. Gallardo, Every strict sum of cubes in is a strict sum of 6 cubes. Port. Math. 65 (2008), no. 2, pp. 227–236

DOI 10.4171/PM/1807