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 Citations (Scopus)

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

Fingerprint

Additive number Theory
Waring's problem
Natural number
Theorem
Form

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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Waring's problem for Beatty sequences and a local to global principle. / Banks, William D.; Güloǧlu, Ahmet M.; Vaughan, Robert C.

In: Journal de Theorie des Nombres de Bordeaux, Vol. 26, No. 1, 2014, p. 1-16.

Research output: Contribution to journalArticle

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