DedekindEta

DedekindEta[]
gives the Dedekind eta modular elliptic function .

DetailsDetails

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • DedekindEta is defined only in the upper half of the complex plane. It is not defined for real .
  • The argument is the ratio of Weierstrass half-periods .
  • DedekindEta satisfies where is the discriminant, given in terms of Weierstrass invariants by .
  • For certain special arguments, DedekindEta automatically evaluates to exact values.
  • DedekindEta can be evaluated to arbitrary numerical precision.
  • DedekindEta automatically threads over lists.
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