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Equations Reducible to Pell’s Type Equations

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Book cover Quadratic Diophantine Equations

Part of the book series: Developments in Mathematics ((DEVM,volume 40))

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Abstract

An interesting problem concerning the Pell’s equation \(u^{2} - Dv^{2} = 1\) is to study when the second component of a solution (u, v) is a perfect square.

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Authors and Affiliations

  1. School of Natural Sciences and Mathematics, University of Texas at Dallas, Richardson, TX, USA

    Titu Andreescu

  2. Faculty of Mathematics and Computer Science, “Babeş-Bolyai” University, Cluj-Napoca, Romania

    Dorin Andrica

Authors
  1. Titu Andreescu
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  2. Dorin Andrica
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Andreescu, T., Andrica, D. (2015). Equations Reducible to Pell’s Type Equations. In: Quadratic Diophantine Equations. Developments in Mathematics, vol 40. Springer, New York, NY. https://doi.org/10.1007/978-0-387-54109-9_5

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