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Proof of a Conjecture of Alladi Ramakrishnan on Circulants

In: The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

Author

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  • Michel Waldschmidt

    (Université P et M. Curie (Paris VI), Institut de Mathématiques)

Abstract

Summary In the course of studying a higher dimensional generalization of the Pythagorean equation and its connections to the Lorentz transformation, Alladi Ramakrishnan made a conjecture on a determinant of a certain circulant matrix and published it in his paper Pythagoras to Lorentz via Fermat. This conjecture was proved by the author in a letter to Alladi Ramakrishnan. That letter is reproduced here with a note by the Editor explaining the background.

Suggested Citation

  • Michel Waldschmidt, 2010. "Proof of a Conjecture of Alladi Ramakrishnan on Circulants," Springer Books, in: Krishnaswami Alladi & John R. Klauder & Calyampudi R. Rao (ed.), The Legacy of Alladi Ramakrishnan in the Mathematical Sciences, pages 329-334, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4419-6263-8_19
    DOI: 10.1007/978-1-4419-6263-8_19
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