A Note on the Irrationality of ζ(2) and ζ(3)

  title={A Note on the Irrationality of $\zeta$(2) and $\zeta$(3)},
  author={Frits Beukers},
  journal={Bulletin of The London Mathematical Society},
  • F. Beukers
  • Published 1 October 1979
  • Mathematics
  • Bulletin of The London Mathematical Society
At the “Journees Arithmetiques” held at Marseille-Luminy in June 1978, R. Apery confronted his audience with a miraculous proof for the irrationality of ζ(3) = l-3+ 2-3+ 3-3 + .... The proof was elementary but the complexity and the unexpected nature of Apery’s formulas divided the audience into believers and disbelievers. Everything turned out to be correct however. Two months later a complete exposition of the proof was presented at the International Congress of Mathematicians in Helsinki in… Expand
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