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Lagrange's Algorithm Revisited: Solving at 2 + btu + cu 2 = n in the Case of Negative Discriminant

Matthews, Keith


We make more accessible a neglected continued fraction algorithm of Lagrange for solving the equation at2 + btu + cu2 = n in relatively prime integers t, u, where a> 0, gcd(a,n) = 1, and D = b2 - 4ac < 0. The cases D = -4 and D = -3 present a consec

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Journal of Integer Sequences


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