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

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

doi:10.5802/jtnb.855

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

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

Mathematics

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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 language	English (US)
Pages (from-to)	1-16
Number of pages	16
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	26
Issue number	1
DOIs	https://doi.org/10.5802/jtnb.855
State	Published - 2014

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.5802/jtnb.855

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

Abstract

All Science Journal Classification (ASJC) codes

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