Waring's problem for Beatty sequences and a local to global principle

William D. Banks, Ahmet M. Güloǧlu, Robert C. Vaughan

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We investigate in various ways the representation of a large natural number N as a sum of s positive k-th powers of numbers from a fixed Beatty sequence. Inter alia, a very general form of the local to global principle is established in additive number theory. Although the proof is very short, it depends on a deep theorem of M. Kneser.

Original languageEnglish (US)
Pages (from-to)1-16
Number of pages16
JournalJournal de Theorie des Nombres de Bordeaux
Volume26
Issue number1
DOIs
StatePublished - 2014

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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