期刊
ACTA MATHEMATICA
卷 213, 期 2, 页码 199-236出版社
INT PRESS BOSTON, INC
DOI: 10.1007/s11511-014-0119-0
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资金
- National Science Foundation [DMS-0901339, DMS-1201442]
- Royal Society Wolfson Research Merit Award
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1201442] Funding Source: National Science Foundation
We enhance the efficient congruencing method for estimating Vinogradov's integral for moments of order 2s, with . In this way, we prove the main conjecture for such even moments when , showing that the moments exhibit strongly diagonal behaviour in this range. There are improvements also for larger values of s, these finding application to the asymptotic formula in Waring's problem.
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