Solving the Pell Equation

Pell's equation is a very simple, yet fundamental Diophantine equation which is believed to have been known to mathematicians for over 2000 years. Because of its popularity, the Pell equation is often discussed in textbooks and recreational books concerning elementary number theory, but usually...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Jacobson, Michael (Autor), Williams, Hugh (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
Temas:
Number theory.
Environmental chemistry.
Number Theory.
Environmental Chemistry.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Early History of the Pell Equation
  • Continued Fractions
  • Quadratic Number Fields
  • Ideals and Continued Fractions
  • Some Special Pell Equations
  • The Ideal Class Group
  • The Analytic Class Number Formula
  • Some Additional Analytic Results
  • Some Computational Techniques
  • (f, p) Representations of -ideals
  • Compact Representations
  • The Subexponential Method
  • Applications to Cryptography
  • Unconditional Verification of the Regulator and the Class Number
  • Principal Ideal Testing in
  • Conclusion.

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