Lagrange's Algorithm Revisited: Solving at 2 + btu + cu 2 = n in the Case of Negative Discriminant
Date
2014
Authors
Matthews, Keith
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Publisher
University of Waterloo
Abstract
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
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Source
Journal of Integer Sequences
Type
Journal article