Article ID Journal Published Year Pages File Type
4665177 Advances in Mathematics 2016 30 Pages PDF
Abstract

We apply a variant of the multigrade efficient congruencing method to estimate Vinogradov's integral of degree 3 for moments of order 2s  , establishing strongly diagonal behaviour for 1⩽s⩽61⩽s⩽6. Consequently, the main conjecture is now known to hold for the first time in a case of degree exceeding 2.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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