Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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THE EXTENDIBILITY OF DIOPHANTINE PAIRS WITH PROPERTY D(-1)

  • Park, Jinseo (Department of Mathematics Education Catholic Kwandong University)
  • Received : 2020.06.08
  • Accepted : 2020.09.11
  • Published : 2020.09.30
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Abstract

A set {a1, a2, …, am} of m distinct positive integers is called a D(-1)-m-tuple if the product of any distinct two elements in the set decreased by one is a perfect square. In this paper, we find a solution of Pellian equations which is constructed by D(-1)-triples and using this result, we prove the extendibility of D(-1)-pair with some conditions.

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References

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