NOTABLE NUMBERS MATHEMATICS A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z                    HOME ABOUT CATEGORIES SITE MAP COPYRIGHT ADVERTISE CONTACT entire Web this site Apéry's constant Pick 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 categories    • NOTABLE NUMBERS    • MATHEMATICS Also on this site: Encyclopedia of Alternative Energy & Sustainable Living Encyclopedia of History Transport Concepts & Designs (partner site) BACK TO TOP