Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665177 | Advances in Mathematics | 2016 | 30 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Trevor D. Wooley,