Geodesic
Proof of the main conjecture in Vinogradov’s Mean Value Theorem for degrees higher than three
Jean Bourgain1 ; Ciprian Demeter2 ; Larry Guth3
1 School of Mathematics, Institute for Advanced Study, Princeton, NJ
2 Department of Mathematics, Indiana University, Bloomington, IN
3 Department of Mathematics, MIT, Cambridge, MA
Annals of mathematics, Tome 184 (2016) no. 2, pp. 633-682.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2016.184.2.7

Jean Bourgain 1 ; Ciprian Demeter 2 ; Larry Guth 3

1 School of Mathematics, Institute for Advanced Study, Princeton, NJ
2 Department of Mathematics, Indiana University, Bloomington, IN
3 Department of Mathematics, MIT, Cambridge, MA 
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Jean Bourgain; Ciprian Demeter; Larry Guth. Proof of the main conjecture in Vinogradov’s Mean Value Theorem for degrees higher than three. Annals of mathematics, Tome 184 (2016) no. 2, pp. 633-682. doi : 10.4007/annals.2016.184.2.7. http://geodesic.mathdoc.fr/articles/10.4007/annals.2016.184.2.7/

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