Resonance

, Volume 3, Issue 8, pp 33–45 | Cite as

The congruent number problem

  • V. Chandrasekar

Abstract

In Mathematics, especially number theory, one often comes across problems which arise naturally and are easy to pose, but whose solutions require very sophisticated methods. What is known as ‘The Congruent Number Problem’ is one such. Its statement is very simple and the problem dates back to antiquity, but it was only recently that a breakthrough was made, thanks to current developments in the Arithmetic of elliptic curves, an area of intense research in number theory.

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Suggested Reading

  1. [1]
    R K Guy.Unsolved Problems in Number Theory. Springer-Verlag, 1981.Google Scholar
  2. [2]
    N Koblitz.Introduction to Elliptic Curves and Modular Forms. Springer-Verlag, 1984.Google Scholar
  3. [3]
    J Tunnell. A Classical Diophantine Problem and Modular forms of weight 3/2.Inventiones Math. 72. 323–33, 1983.CrossRefGoogle Scholar
  4. [4]
    A Weil.Number Theory: An Approach Through History. Birkhäuser, 1984.Google Scholar
  5. [5]
    K Feng.Non-congruent Numbers, Odd graphs and the B-S-D Conjecture.Acta Arithmetica; LXXV 1, 1996.Google Scholar

Copyright information

© Indian Academy of Sciences 1998

Authors and Affiliations

  • V. Chandrasekar
    • 1
  1. 1.C/o Mr Sripathy Spic Mathematics InstituteChennaiIndia

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