Proof of the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three
Author(s)Bourgain, Jean; Demeter, Ciprian; Guth, Lawrence
MetadataShow full item record
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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Annals of Mathematics
Annals of Mathematics, Princeton U
Bourgain, Jean, et al. “Proof of the Main Conjecture in Vinogradov’s Mean Value Theorem for Degrees Higher than Three.” Annals of Mathematics, vol. 184, no. 2, Sept. 2016, pp. 633–82.
Author's final manuscript