A ternary additive problem

The problem of representing a large integer in the form has been studied by a number of authors in the past decades. In this paper, we restrict to square-free integers, and to primes, and show that there is such a representation for all with at most exceptions. We also improve the recent results of...

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Bibliographic Details
Published inMonatshefte für Mathematik Vol. 172; no. 3-4; pp. 293 - 321
Main Authors Hoffman, John W., Yu, Gang
Format Journal Article
LanguageEnglish
Published Vienna Springer Vienna 01.12.2013
Subjects
Mathematics
Mathematics and Statistics
Hardy-littlewood
11P32
Waring-goldbach
11P55
Squarefree
Mixed power
11P05
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Summary:The problem of representing a large integer in the form has been studied by a number of authors in the past decades. In this paper, we restrict to square-free integers, and to primes, and show that there is such a representation for all with at most exceptions. We also improve the recent results of Liu (Acta Math Hungar 130(1–2):118–139, 2011 ) and Bauer (J Math 38(4):1073–1090, 2008 ) on related problems.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-013-0509-y