On Waring's problem for intermediate powers

Trevor D Wooley

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

4 Citations (Scopus)
265 Downloads (Pure)

Abstract

Let G(k) denote the least number s such that every suffciently large natural number is the sum of at most s positive integral kth powers. We show that G(7) ≤ 31, G(8) ≤ 39, G(9) ≤ 47, G(10) ≤ 55, G(11) ≤ 63, G(12) ≤ 72, G(13) ≤ 81, G(14) ≤ 90, G(15) ≤ 99, G(16) ≤ 108.
Original languageEnglish
Pages (from-to)241-247
Number of pages7
JournalActa Arithmetica
Volume176
Issue number3
Early online date29 Sep 2016
DOIs
Publication statusPublished - 4 Nov 2016

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