Abstract
We establish the non-singular Hasse Principle for pairs of diagonal quartic equations in 22 or more variables. Our methods involve the estimation of a certain entangled two-dimensional 21st moment of quartic smooth Weyl sums via a novel cubic moment of Fourier coefficients.
| Original language | English |
|---|---|
| Pages (from-to) | 2887-2901 |
| Number of pages | 15 |
| Journal | Journal of the European Mathematical Society |
| Volume | 17 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 29 Oct 2015 |
Keywords
- math.NT
- 11D72
- 11P55
- 11E76
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