Additive representation in thin sequences, IV: Lower bound methods

J Brudern*, K Kawada, TD Wooley

*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

We describe a method for establishing that values from a fixed polynomial sequence are represented frequently by some prescribed sum of powers of natural numbers. As an illustration of this method, we show that for at least X-129/136 of the integers n with 1 less than or equal to n less than or equal to X, a fixed quadratic polynomial phi(n) may be written as the sum of five cubes of positive integers. A similar result is established for the sum of a square and three cubes of positive integers.

Original languageEnglish
Pages (from-to)423-436
Number of pages14
JournalQuarterly Journal of Mathematics
Volume52
Publication statusPublished - Dec 2001

Keywords

  • WARING PROBLEM
  • CUBES

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