A light-weight version of Waring's problem

TD Wooley*

*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

Abstract

An asymptotic formula is established for the number of representations of a large integer as the sum of kth powers of natural numbers, in which each representation is counted with a homogeneous weight that de-emphasises the large solutions. Such an asymptotic formula necessarily fails when this weight is excessively light.
Translated title of the contributionA light-weight version of Waring's problem
Original languageEnglish
Pages (from-to)303 - 316
Number of pages14
JournalJournal of the Australian Mathematical Society
Volume76 (3)
Publication statusPublished - Jun 2004

Bibliographical note

Publisher: Australian Mathematics Publ Assoc Ltd

Keywords

  • Waring's problem
  • applications of the Hardy-Littlewood method
  • THEOREM

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