Almost equal summands in Waring’s problem with shifts

Kirsti D. Biggs*

*Corresponding author for this work

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

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Abstract

A result of Wright from 1937 shows that there are arbitrarily large natural numbers which cannot be represented as sums of skth powers of natural numbers which are constrained to lie within a narrow region. We show that the analogue of this result holds in the shifted version of Waring’s problem.
Original languageEnglish
Number of pages5
JournalMonatshefte für Mathematik
Early online date21 Mar 2018
DOIs
Publication statusE-pub ahead of print - 21 Mar 2018

Keywords

  • Diophantine inequalities
  • Shifted integers
  • Waring’s problem

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