## Apéry's constantPick three positive integers at random; then the odds of them having no common divisor are 1 in 1.202056... In 1979, the French mathematician Roger Apéry (1916–1994) stunned the mathematical world with a proof that this number is irrational. ^{1} Whether it is a transcendental
number remains an open question. Apéry's constant is also ζ(3),
where ζ is the Riemann zeta
function. ## Reference- Apéry, R. "Irrationalité de ζ(2) et ζ(3)."
*Astérisque*, 61: 11-13 (1979).
## Related category• NOTABLE NUMBERS | |||||

Home • About • Copyright © The Worlds of David Darling • Encyclopedia of Alternative Energy • Contact |