Number Theory Volume II: Analytic and Modern Tools /

The central theme of this graduate-level number theory textbook is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cohen, Henri (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Graduate Texts in Mathematics, 240
Temas:
Number theory.
Algorithms.
Algebraic fields.
Polynomials.
Mathematics > Data processing.
Algebra.
Number Theory.
Field Theory and Polynomials.
Computational Mathematics and Numerical Analysis.
Order, Lattices, Ordered Algebraic Structures.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Analytic Tools
  • Bernoulli Polynomials and the Gamma Function
  • Dirichlet Series and L-Functions
  • p-adic Gamma and L-Functions
  • Modern Tools
  • Applications of Linear Forms in Logarithms
  • Rational Points on Higher-Genus Curves
  • The Super-Fermat Equation
  • The Modular Approach to Diophantine Equations
  • Catalan's Equation.

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