Abstract
Simple continued fractions are a powerful mixture of analysis and algebra which is as important in contemporary Number Theory as it was in the work of Lagrange (1736–1813), who used these fractions to give completely general solutions to the Diophantine equations Ax+By = C and x2 − Ry2 = C. In this chapter we give Lagrange’s solution to the first equation, and, in Chapter 4, we give a solution very much like that of Lagrange to the second equation.
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© 1995 Springer Science+Business Media Dordrecht
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Anglin, W.S. (1995). Simple Continued Fractions. In: The Queen of Mathematics. Kluwer Texts in the Mathematical Sciences, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0285-8_2
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DOI: https://doi.org/10.1007/978-94-011-0285-8_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4126-3
Online ISBN: 978-94-011-0285-8
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