DedekindEta
 Usage
• DedekindEta[ ] 给出 Dedekind eta 模椭圆函数  (  )
Notes
• DedekindEta仅在复平面的上半平面有定义.对实数  ，它也没有定义. • 参数  是Weierstrass 半周期的比值  . • DedekindEta满足  ，  是判别式，它根据不变量由  给出.
 Further Examples
The Dedekind eta function  is defined by  , for  in the complex upper half-plane. If  is regarded as the ratio of half-periods of an elliptic curve and  are the corresponding Weierstrass coefficients, then  .
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Under fractional linear transformations of the complex plane with integer coefficients, the Dedekind eta function transforms in simple ways. The most obvious example of such a transformation (apart from the identity) is  ; in this case  .
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