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The polynomial Pell equation

✍ Scribed by Dubickas, Art?ras (author);Steuding, J�rn (author)

Book ID
113014046
Publisher
Research Institute for Mathematical Sciences, Kyoto University
Year
2004
Weight
276 KB
Volume
59
Category
Article
ISSN
0013-6018

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The polynomial Pell equation
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The polynomial Pell's equation is X 2 À DY 2 ¼ 1; where D is a polynomial with integer coefficients and the solutions X ; Y must be polynomials with integer coefficients. Let D ¼ A 2 þ 2C be a polynomial in Z½x; where deg Codeg A: Then for pB ¼ pA=CAZ½x; p a prime, a necessary and sufficient conditi

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This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment

Pell's Equation
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Pell's equation is an important topic of algebraic number theory that involves quadratic forms and the structure of rings of integers in algebraic number fields. The history of this equation is long and circuitous, and involved a number of different approaches before a definitive theory was found. T