On the equation xy = z (y - x2) over a unique factorization domain

doi:10.4314/sinet.v24i1.18172

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On the equation xy = z (y - x2) over a unique factorization domain

Yismaw Alemu

Abstract

The article gives the parametric solutions of xy = z(y - x2) over any unique factorization domain. An application of the obtained characterization to Diophantine equations is demonstrated.

SINET: Ethiopian Journal of Science Vol. 24, No. 1 (June 2001), pp. 1-15

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SINET: Ethiopian Journal of Science. ISSN: 0379-2897

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