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Advanced analytic number theory. Part 1, Ramification theoretic methods /

These notes are intended as an introduction to those aspects of analytic number theory which depend on and have applications to the algebraic numbers. As is well known the central problem of the theory general algebraic formulation of ·the following distribution results: number theorem, Dirichlet�...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Moreno, Carlos J., 1946-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [1983]
Colección:Contemporary mathematics (American Mathematical Society) ; 15.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction
  • Galois theory of infinite extensions
  • Projective limits
  • Elementary theory of ℓ-adic integration
  • Ramification theory
  • Multiplicative versus additive reduction
  • Ramification of Abelian extensions
  • The Weil groups of a local field
  • Shafarevitch's theorem
  • The Herbrand distribution.