The Pell equation
β Scribed by Edward Everett Whitford
- Book ID
- 127425572
- Publisher
- Kessinger Publishing, LLC
- Year
- 2010
- Tongue
- English
- Weight
- 1 MB
- Category
- Library
- City
- New York
- ISBN
- 1161832580
No coin nor oath required. For personal study only.
β¦ Synopsis
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π SIMILAR VOLUMES
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
The polynomial Pell's equation is X 2 Γ DY 2 ΒΌ 1; where D is a polynomial with integer coefficients and the solutions X ; Y must be polynomials with integer coefficients. Let D ΒΌ A 2 ΓΎ 2C be a polynomial in ZΒ½x; where deg Codeg A: Then for pB ΒΌ pA=CAZΒ½x; p a prime, a necessary and sufficient conditi