Abstract
By means of the Hardy-Littlewood method, we apply a new mean value theorem for exponential sums to confirm the truth, over the rational numbers, of the Hasse principle for pairs of diagonal cubic forms in thirteen or more variables.
| Original language | English |
|---|---|
| Pages (from-to) | 865-895 |
| Number of pages | 31 |
| Journal | Annals of Mathematics |
| Volume | 166 |
| Issue number | 3 |
| Publication status | Published - Nov 2007 |
Keywords
- SLIM EXCEPTIONAL SETS
- WARINGS PROBLEM
- ADDITIVE EQUATIONS
- CUBES
- SUMS
- SURFACES