Catalan's Conjecture

Eugène Charles Catalan made his famous conjecture - that 8 and 9 are the only two consecutive perfect powers of natural numbers - in 1844 in a letter to the editor of Crelle's mathematical journal. One hundred and fifty-eight years later, Preda Mihailescu proved it. Catalan's Conjecture p...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Schoof, René (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Colección:Universitext,
Temas:
Number theory.
Universal algebra.
Mathematics.
Number Theory.
General Algebraic Systems.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • The Case "q = 2"
  • The Case "p = 2"
  • The Nontrivial Solution
  • Runge's Method
  • Cassels' theorem
  • An Obstruction Group
  • Small p or q
  • The Stickelberger Ideal
  • The Double Wieferich Criterion
  • The Minus Argument
  • The Plus Argument I
  • Semisimple Group Rings
  • The Plus Argument II
  • The Density Theorem
  • Thaine's Theorem.

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