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A VARIANT ON THE NOTION OF A DIOPHANTINE s-TUPLE

Published online by Cambridge University Press:  01 January 2009

WILLIAM D. BANKS ,
FLORIAN LUCA  and
LÁSZLÓ SZALAY
WILLIAM D. BANKS*
Affiliation:
Department of MathematicsUniversity of MissouriColumbia, MO 65211USA e-mail: bbanks@math.missouri.edu
FLORIAN LUCA
Affiliation:
Instituto de MatemáticasUniversidad Nacional Autónoma de MéxicoC.P. 58089, Morelia, Michoacán, México e-mail: fluca@matmor.unam.mx
LÁSZLÓ SZALAY
Affiliation:
Institute of Mathematics and StatisticsUniversity of West HungaryH-9400 Sopron, Erzsébet u. 9, Hungary e-mail: laszalay@ktk.nyme.hu
*
†Corresponding author.
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Abstract

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We show that there is an infinite set of natural numbers with the property that is square-free for every finite subset ⊆ .

Keywords

MSC Numbers: 11B9911N25
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 1 , January 2009 , pp. 83 - 89
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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