Solving the Pell Equation

Solving the Pell Equation

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Pella€™s Equation is a very simple Diophantine equation that has been known to mathematicians for over 2000 years. Even today research involving this equation continues to be very active, as can be seen by the publication of at least 150 articles related to this equation over the past decade. However, very few modern books have been published on Pella€™s Equation, and this will be the first to give a historical development of the equation, as well as to develop the necessary tools for solving the equation. The authors provide a friendly introduction for advanced undergraduates to the delights of algebraic number theory via Pella€™s Equation. The only prerequisites are a basic knowledge of elementary number theory and abstract algebra. There are also numerous references and notes for those who wish to follow up on various topics.D. H Iˆuhnlein, M. J. Jacobson, Jr., and D. Weber, Towards practical non- interactive public-key cryptosystems using non-maximal ... public-key cryptosystems using non-maximal imaginary quadratic orders, Designs, Codesand Cryptography 30 (2003), no. ... G. H. Hardy and J. E. Littlewood, Partitio numerorum III: On the expression of a number as a sum of primes, Acta Mathematica 44 (1923), 1a€“70.

Title:Solving the Pell Equation
Author:Michael Jacobson, Hugh Williams
Publisher:Springer Science & Business Media - 2008-12-02


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