Sums of cubes of square-free numbers (Q2639092)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sums of cubes of square-free numbers |
scientific article |
Statements
Sums of cubes of square-free numbers (English)
0 references
1991
0 references
We show that almost all natural numbers are sums of four cubes of square- free numbers, and more precisely that there are \(\ll N^{1-\delta}\) numbers not exceeding N and not representable in this way. This generalizes a well-known result in Waring's problem for cubes.
0 references
Vaughan's mean value theorem
0 references
cubic exponential sums over square-free integers
0 references
sums of four cubes of square-free numbers
0 references
Waring's problem for cubes
0 references
0 references
