Number Theory : Volume II: Analytic and Modern Tools

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
Autor principal: Cohen, Henri. author (author)
Formato: Libro electrónico
Idioma:Inglés
Publicado: New York, NY : Springer New York 2007.
Edición:1st ed. 2007.
Colección:Graduate Texts in Mathematics, 240
Materias:
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.
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009462297806719
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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