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Bibliographic Details
Main Author: Cohen, Henri
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York : Springer, [2007]
Series:Graduate texts in mathematics ; 239-240.
Subjects:
Getaltheorie.
Diophantine equations.
Number theory.
Équations diophantiennes.
Nombres, Théorie des.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • v. 1. Tools and diophantine equations
  • v. 2. Analytic and modern tools.
  • v. 1. Tools and diophantine equations
  • Preface
  • 1. Introduction to diophantine equations
  • pt. 2. Tools
  • 3. Basic algebraic number theory
  • 4. [p]-adic fields
  • 5. Quadratic forms and local-global principles
  • pt. 2. Diophantine equations
  • 6. Some diophantine equations
  • 7. Elliptic curves
  • 8. Diophantine ascpects of elliptic curves
  • Bibliography
  • Index of notation
  • Index of names
  • General index.
  • v. 2. Analytic and modern tools
  • Preface
  • pt. 3. Analytic tools
  • 9. Bernoulli polynomials and the gamma function
  • 10. Dirichlet series and L-functions
  • 11. [p]-adic gamma and L-functions
  • pt. 4. Modern tools
  • 12. Applications of linear forms in logarithms
  • 13. Rational points on higher-genus curves
  • 14. The super-Fermat equation
  • 15. The modular approach to diophantine equations
  • 16. Catalan's equation
  • Bibliography
  • Index of notation
  • Index of names
  • General index.