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Reducible Diophantine Equations and Their Parametric Representations

Published online by Cambridge University Press:  20 November 2018

E. Rosenthall
E. Rosenthall*
Affiliation:
McGill University
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1. Reducible diophantine equations. The present paper will provide a general method for obtaining the complete parametric representation for the rational integer solutions of the multiplicative diophantine equation

1.1

for some specified range of k, where the aijk,bijk are non-negative integers and the fki, hki are decomposable forms, that is to say they are integral irreducible homogeneous polynomials over the rational field R of degree k in k variables which can be written as the product of k linear forms.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 328 - 336
Copyright
Copyright © Canadian Mathematical Society 1955

References

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