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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- R K Guy.Unsolved Problems in Number Theory. Springer-Verlag, 1981.Google Scholar
- N Koblitz.Introduction to Elliptic Curves and Modular Forms. Springer-Verlag, 1984.Google Scholar
- A Weil.Number Theory: An Approach Through History. Birkhäuser, 1984.Google Scholar
- K Feng.Non-congruent Numbers, Odd graphs and the B-S-D Conjecture.Acta Arithmetica; LXXV 1, 1996.Google Scholar