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RiemannSiegelTheta

RiemannSiegelTheta[t]
gives the Riemann-Siegel function theta(t).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • for real t.
  • theta(t) arises in the study of the Riemann zeta function on the critical line. It is closely related to the number of zeros of for 0<u<t.
  • theta(t) is an analytic function of t except for branch cuts on the imaginary axis running from to ±i ∞.
  • For certain special arguments, RiemannSiegelTheta automatically evaluates to exact values.
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