Proof of the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three
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. Key words and phrases: discrete restriction estimates, Strichartz estimates, additive energy.
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Published: |
Annals of Mathematics, Princeton U
2018
|
| Online Access: | http://hdl.handle.net/1721.1/115568 https://orcid.org/0000-0002-1302-8657 |
| Summary: | 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. Key words and phrases: discrete restriction estimates, Strichartz estimates, additive energy. |
|---|