IRRATIONALITY OF AND
We use the uniqueness of representation of every rational number as a finite sum of reciprocal factorials to any given power to prove the irrationality of Euler’s constant g, of all values of Riemann’s zeta function and of all values of Dirichlet’s beta function with corresponding to Catalan’s constant.
irrationality, Euler’s constant, Riemann’s zeta function, Dirichlet’s beta function, Catalan’s constant.