Proof of a Conjecture of Alladi Ramakrishnan on Circulants

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

A chapter in The Legacy of Alladi Ramakrishnan in the Mathematical Sciences, 2010, pp 329-334 from Springer

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.

Keywords: Pythagorean equation; Higher dimensional generalization; Lorentz transformation; Circulants; Determinants; Fermat equation (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4419-6263-8_19

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DOI: 10.1007/978-1-4419-6263-8_19

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