Riemann Zeta Function

This calculator finds the value of the Riemann zeta function for real s.

ζ(s) = 1 + 1/2^s + 1/3^s + …

Example. ζ(2) = π²/6 ≈ 1.6449, ζ(0) = −1/2, ζ(−1) = −1/12 and ζ(−2) = 0.

For s ≤ 1 the value belongs to the analytic continuation. The function is not defined at s = 1. Complex s is not supported.