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 |
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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