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Proceedings of the London Mathematical Society· 2018Q1

Nested efficient congruencing and relatives of Vinogradov's mean value theorem

Trevor D. Wooley

Short summary

A new nested efficient congruencing method provides improved estimates for mean values related to Vinogradov's theorem, confirming the main conjecture for all exponents k without using multilinear Kakeya estimates.

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Field: Algebra and Number Theory

Algebra and Number TheoryMathematics