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DedekindEta
 DedekindEta[ ] gives the Dedekind eta modular elliptic function  .
Mathematical function (see Section A.3.10).
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  .
See Section 3.2.11 for a discussion of argument conventions for elliptic functions.
See The Mathematica Book: Section 3.2.11.
See also: ModularLambda, KleinInvariantJ, EllipticTheta, PartitionsP.
Further Examples
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