Zeta

Zeta[s]
gives the Riemann zeta function .

Zeta[s,a]
gives the generalized Riemann zeta function .

Details and OptionsDetails and Options

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For Re(s)>1, .
  • , where any term with is excluded.
  • For Re(a)<0, the definition used is .
  • Zeta[s] has no branch cut discontinuities.
  • For certain special arguments, Zeta automatically evaluates to exact values.
  • Zeta can be evaluated to arbitrary numerical precision.
  • Zeta automatically threads over lists.
Introduced in 1988
(1.0)