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DedekindEta

DedekindEta[Tau]
gives the Dedekind eta modular elliptic function eta(tau).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • DedekindEta is defined only in the upper half of the complex Tau plane. It is not defined for real Tau.
  • The argument Tau is the ratio of Weierstrass half-periods omega^'/omega.
  • DedekindEta satisfies Delta=(2pi)^(12)eta^(24)(tau) where Delta 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.
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