zeta( z )

The Riemann zeta function of z in Math. Defined by

\[ \zeta(z) = \sum_{k=1}^\infty \frac{ 1 }{ k^z } \]

Real part on the real axis:

Imaginary part on the real axis is zero.

Real part on the imaginary axis:

Imaginary part on the imaginary axis:

Real part on the complex plane:

Imaginary part on the complex plane:

Absolute value on the complex plane:

Related functions:   dirichletEta

Function category: zeta functions