Proof of the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three

Author(s)
Bourgain, Jean; Demeter, Ciprian; Guth, Lawrence
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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. Key words and phrases: discrete restriction estimates, Strichartz estimates, additive energy.
Date issued
2016-07
URI
http://hdl.handle.net/1721.1/115568
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Annals of Mathematics
Publisher
Annals of Mathematics, Princeton U
Citation
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.
Version: Author's final manuscript
ISSN
0003-486X
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