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Introduction

  • Joseph H. Silverman
  • John Tate
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

The theory of Diophantine equations is that branch of number theory which deals with the solution of polynomial equations in either integers or rational numbers. The subject itself is named after one of the greatest of the ancient Greek algebraists, Diophantus of Alexandria,1 who formulated and solved many such problems.

Keywords

Rational Number Elliptic Curf Rational Solution Diophantine Equation Ideal Class Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Joseph H. Silverman
    • 1
  • John Tate
    • 2
  1. 1.Department of MathematicsBrown UniversityProvidenceUSA
  2. 2.Department of MathematicsUniversity of Texas at AustinAustinUSA

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