Zeta

Zeta[s] gives the Riemann zeta function ζ(s). Zeta[s, a] gives the generalized Hurwitz zeta function.

Examples

Riemann zeta values:

Zeta[2]
(* Pi^2/6 *)

Zeta[4]
(* Pi^4/90 *)

Numerical evaluation:

N[Zeta[3]]
(* 1.20206 - Apéry's constant *)

Generalized zeta:

Zeta[2, 1/2] // N
(* 4.9348 *)

Please visit the official Wolfram Language Reference for more details.