EllipticTheta[a, u, q]
gives the theta function .


  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The are defined only inside the unit q disk; the disk forms a natural boundary of analyticity.
  • Inside the unit q disk, and have branch cuts from to .
  • For certain special arguments, EllipticTheta automatically evaluates to exact values.
  • EllipticTheta can be evaluated to arbitrary numerical precision.
  • EllipticTheta automatically threads over lists.
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