Wednesday, August 10, 2005

coates' public lectures

here and and here

Dont miss the proof that 1 is not a congruent number by Fermat. Not profound but beautiful. I struggled with the proof myself and gave up trying to find solutions for x^4 - y^4 = c^2 which turns out to have no solutions by a corollary of the above theorem. Incidentally, this also proves that x^4 + y^4 = z^4 has no solutions. Was it this proof that prompted those famous words?.

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