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Integral Solutions to the Equation \(x^2 + y^2 + z^2 = u^2\): A Geometrical Approach
by Ayoub B. Ayoub (Pennsylvania State University)
This article originally appeared in:Mathematics Magazine
September, 1984
Subject classification(s): Diophantine Equations | Number Theory | Algebra and Number Theory
Applicable Course(s): 4.3 Number Theory
Six identities, each of which gives infinitely many (but not all) integral solutions to the equation in the title, are shown to be special cases of a more general identity.
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Capsule Course Topic(s): Number Theory | Numbers with Special Forms or Properties, Sums of Powers
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