Effective Vinogradov's mean value theorem via efficient boxing

Raphael S. Steiner

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

We combine Wooley's efficient congruencing method with earlier work of Vinogradov and Hua to get effective bounds on Vinogradov's mean value theorem.

Original languageEnglish
Pages (from-to)354-404
Number of pages51
JournalJournal of Number Theory
Volume204
Early online date17 May 2019
DOIs
Publication statusPublished - 1 Nov 2019

Keywords

  • Effective Vinogradov's mean value theorem
  • Exponential sums
  • Hardy–Littlewood method

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