RiemannSiegelZ

RiemannSiegelZ[t]
gives the Riemann-Siegel function .

DetailsDetails

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • , where is the Riemann-Siegel theta function, and is the Riemann zeta function.
  • for real .
  • is an analytic function of except for branch cuts on the imaginary axis running from to .
  • For certain special arguments, RiemannSiegelZ automatically evaluates to exact values.
  • RiemannSiegelZ can be evaluated to arbitrary numerical precision.
  • RiemannSiegelZ automatically threads over lists.
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