Elliptic diophantine equations /

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This book presents in a unified way the beautiful and deep mathematics, both theoretical and computational, on which the explicit solution of an elliptic Diophantine equation is based. It collects numerous results and methods that are scattered in literature. Some results are even hidden behind a nu...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Tzanakis, Nikos, 1952-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : Walter de Gruyter, [2013]
Colección:De Gruyter series in discrete mathematics and applications ; 2.
Temas:
Diophantine equations.
Elliptic functions.
Équations diophantiennes.
Fonctions elliptiques.
MATHEMATICS > Algebra > Intermediate.
Diophantine equations
Elliptic functions
Algebraic Number Theory.
Computational Method.
Diophantine Geometry.
Elliptic Diophantine Equation.
Magma.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Preface
  • Contents
  • Chapter 1 Elliptic curves and equations
  • Chapter 2 Heights
  • Chapter 3 Weierstrass equations over C and R
  • Chapter 4 The elliptic logarithm method
  • Chapter 5 Linear form for the Weierstrass equation
  • Chapter 6 Linear form for the quartic equation
  • Chapter 7 Linear form for simultaneous Pell equations
  • Chapter 8 Linear form for the general elliptic equation
  • Chapter 9 Bound for the coefficients of the linear form
  • Chapter 10 Reducing the bound obtained in Chapter 9
  • Chapter 11 S-integer solutions of Weierstrass equations
  • List of symbols
  • Bibliography
  • Index

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