Diophantine quadruples of numbers whose elements are in proportion

A.M.S. Ramasamy

Abstract


In this paper certain non-F-type $P_{3,k}$ sequences which contain Diophantine quadruples of numbers in proportion are presented. It is proved that there exist an infinite number of non-F-type $P_{3,k}$ sequences which possess Diophantine quadruples of numbers in proportion.

Keywords


P3,k sequence, Recurrence relation, Diophantine quadruples, Pell's equation

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References


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DOI: http://dx.doi.org/10.5556/j.tkjm.48.2017.1972

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