ON WARING'S PROBLEM: THREE CUBES AND A MINICUBE

Joerg Bruedern*, Trevor D. Wooley

*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

We establish that almost all natural numbers n are the sum of four cubes of positive integers, one of which is no larger than n(5/36). The proof makes use of an estimate for a certain eighth moment of cubic exponential sums, restricted to minor arcs only, of independent interest.

Original languageEnglish
Pages (from-to)59-91
Number of pages33
JournalNagoya Mathematical Journal
Volume200
DOIs
Publication statusPublished - Dec 2010

Keywords

  • SUMS

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