HurwitzZeta[s, a]
gives the Hurwitz zeta function .


  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The Hurwitz zeta function is defined as an analytic continuation of .
  • HurwitzZeta is identical to Zeta for .
  • Unlike Zeta, HurwitzZeta has singularities at for non-negative integers .
  • HurwitzZeta has branch cut discontinuities in the complex plane running from to .
  • For certain special arguments, HurwitzZeta automatically evaluates to exact values.
  • HurwitzZeta can be evaluated to arbitrary numerical precision.
  • HurwitzZeta automatically threads over lists.
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