Lemniscate elliptic functions: Difference between revisions

Revision as of 22:14, 17 January 2006

Revision as of 22:39, 17 January 2006

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where <math>\Gamma</math> is the [[Gamma function]]. The second smallest half period is pure imaginary

and equal to <math>i\omega_1</math>. In more algebraic terms, the [[period lattice]] is a real multiple of the [[Gaussian integer]]s.

The [[mathematical constant|constant]]s <math>e_1</math>, <math>e_2</math> and <math>e_3</math> are given by

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</math>

==See also==

See also *[[pseudo-lemniscatic case]].

See also [[pseudo-lemniscatic case]].

[[category: modular forms]]

[[category: elliptic curves]]

[[category: elliptic functions]]

[[Category:Complex multiplication]]