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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Published in | Monatshefte für Mathematik Vol. 172; no. 3-4; pp. 293 - 321 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Vienna
Springer Vienna
01.12.2013
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Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 0026-9255 1436-5081 |
DOI: | 10.1007/s00605-013-0509-y |