Fermat and Ramanujan: A Comparison

  • Krishnaswami Alladi


The famous French mathematician Pierre Fermat, like Ramanujan, made notes of his observations without proofs and communicated his findings in letters to contemporaries. In this article a comparison is made of certain mathematical contributions of Fermat and Ramanujan, and of their mathematical tastes. The famous Ramanujan taxi-cab equation is discussed as a Diophantine equation in four variables having solutions, but this equation becomes the cubic version of Fermat’s Last Theorem when one of the variables is set equal to zero, in which case there are no non-trivial solutions.


Elliptic Curf Theta Function Fermat Equation Triangular Number Positive Integer Solution 
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Copyright information

© Springer India 2013

Authors and Affiliations

  • Krishnaswami Alladi
    • 1
  1. 1.Department of MathematicsUniversity of FloridaGainesvilleUSA

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