Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
Abstract
We prove the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three. This will be a consequence of a sharp decoupling inequality for curves
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2015
- DOI:
- 10.48550/arXiv.1512.01565
- arXiv:
- arXiv:1512.01565
- Bibcode:
- 2015arXiv151201565B
- Keywords:
-
- Mathematics - Number Theory;
- 11L15;
- 11L07;
- 11P05;
- 11P55
- E-Print:
- Final version, to appear in Annals of Mathematics. We have added the epsilon removal argument in Section 5