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On Positive Integer Solutions of the Equation xy + yz + xz = n
Published online by Cambridge University Press: 20 November 2018
Abstract
As it had been recognized by Liouville, Hermite, Mordell and others, the number of non-negative integer solutions of the equation in the title is strongly related to the class number of quadratic forms with discriminant —n. The purpose of this note is to point out a deeper relation which makes it possible to derive a reasonable upper bound for the number of solutions.
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- Copyright © Canadian Mathematical Society 1996
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