RiemannXi

RiemannXi[s]

gives the Riemann xi function .

Details

  • Mathematical function, suitable for symbolic and numeric manipulations.
  • xi(s)=1/2 s (s-1) pi^(-s/2) TemplateBox[{s}, Zeta] TemplateBox[{{s, /, 2}}, Gamma].
  • For certain special arguments, RiemannXi automatically evaluates to exact values.
  • RiemannXi is an entire function with no branch cut discontinuities.
  • RiemannXi can be evaluated to arbitrary numerical precision.
  • RiemannXi automatically threads over lists.

Examples

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Basic Examples  (2)

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Scope  (5)

See Also

Zeta  Gamma

Introduced in 2014
(10.0)