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The cubic case of Vinogradov's mean value theorem

D. R. Heath-Brown

Vol. 1 (2022), No. 1, 1–12
Abstract

We present a self-contained proof of the cubic case of Vinogradov’s mean value theorem, based on Wooley’s “efficient congruencing” approach.

Keywords
exponential sum, mean value, cubic, Vinogradov
Mathematical Subject Classification
Primary: 11L15
Secondary: 11D45, 11L07
Milestones
Received: 6 July 2021
Revised: 14 September 2021
Accepted: 18 September 2021
Published: 26 October 2022
Authors
D. R. Heath-Brown
University of Oxford
Mathematical Institute
Oxford
United Kingdom