ON WARING'S PROBLEM: TWO SQUARES, TWO CUBES AND TWO SIXTH POWERS

Trevor D. Wooley*

*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

We investigate the number of representations of a large positive integer as the sum of two squares, two positive integral cubes and two sixth powers, showing that the anticipated asymptotic formula fails for at most O ((log X)(3+epsilon)) positive integers not exceeding X.

Original languageEnglish
Pages (from-to)305-317
Number of pages13
JournalQuarterly Journal of Mathematics
Volume65
Issue number1
DOIs
Publication statusPublished - Mar 2014

Keywords

  • SLIM EXCEPTIONAL SETS
  • RATIONAL-POINTS
  • SURFACES
  • DENSITY
  • SUMS

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