A002117 in the OEIS). It is named after Roger Apéry, who proved that it is an irrational number. Apéry's constant arises naturally in a number of physical...

mathematician Roger Apéry in 1979. It is however not known whether it is algebraic or transcendental. The numeric value of Apéry's constant is approximately:...

In mathematics, Apéry's theorem is a result in number theory that states the Apéry's constant ζ(3) is irrational. That is, the number ζ ( 3 ) = ∑ n =...

constants named after people. Eponymous constants and their influence on scientific citations have been discussed in the literature. Apéry's constant...

Constant". MathWorld. Weisstein, Eric W. "Omega Constant". MathWorld. Weisstein, Eric W. "Apéry's Constant". MathWorld. Weisstein, Eric W. "Laplace Limit"...

{\displaystyle \Gamma ({\tfrac {1}{2}})={\sqrt {\pi }};} while inside Apéry's constant, which represents the sum of the reciprocals of all positive cubes...

numerical evidence) are π, the Euler-Mascheroni constant γ, Apéry's constant ζ(3), and Khinchin's constant itself. However, this is unproven. Among the numbers...

{1}{2}}+{\frac {1}{3}}+\cdots =\infty \!} The value ζ(3) is also known as Apéry's constant and has a role in the electron's gyromagnetic ratio. The value ζ(3)...

Roger Apéry (French: [apeʁi]; 14 November 1916, Rouen – 18 December 1994, Caen) was a French mathematician most remembered for Apéry's theorem, which states...

as the Boltzmann constant, ħ as the Planck constant divided by 2π and c as the speed of light in vacuum, and ζ(3) as Apéry's constant. At the current CBR...