Proof of the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three
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1512.01565.pdf
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706.52 KB
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Author(s)
Bourgain, Jean
Demeter, Ciprian
Guth, Lawrence
Date Issued
July 2016
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.4007/ANNALS.2016.184.2.7
