gives the Riemann-Siegel function .


  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • for real .
  • arises in the study of the Riemann zeta function on the critical line. It is closely related to the number of zeros of for .
  • is an analytic function of except for branch cuts on the imaginary axis running from to .
  • For certain special arguments, RiemannSiegelTheta automatically evaluates to exact values.
  • RiemannSiegelTheta can be evaluated to arbitrary numerical precision.
  • RiemannSiegelTheta automatically threads over lists.
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