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In mathematics, and in particular the study of Weierstrass elliptic functions, the equianharmonic case occurs when the Weierstrass invariants satisfy g2 = 0 and g3 = 1.This page follows the terminology of Abramowitz and Stegun; see also the lemniscatic case. (These are special examples of complex multiplication.) In the equianharmonic case, the minimal half period ω2 is real and equal to where is the Gamma function. The half period is Here the period lattice is a real multiple of the Eisenstein integers. The constants e1, e2 and e3 are given by

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rdfs:label	Equianharmonic (en)
rdfs:comment	In mathematics, and in particular the study of Weierstrass elliptic functions, the equianharmonic case occurs when the Weierstrass invariants satisfy g2 = 0 and g3 = 1.This page follows the terminology of Abramowitz and Stegun; see also the lemniscatic case. (These are special examples of complex multiplication.) In the equianharmonic case, the minimal half period ω2 is real and equal to where is the Gamma function. The half period is Here the period lattice is a real multiple of the Eisenstein integers. The constants e1, e2 and e3 are given by (en)
dcterms:subject	Modular forms Elliptic functions Elliptic curves
Wikipage page ID	1745067 (xsd:integer)
Wikipage revision ID	607152996 (xsd:integer)
Link from a Wikipage to another Wikipage	Modular forms Mathematical constant Mathematics Eisenstein integer Gamma function Lemniscatic elliptic function Complex multiplication Weierstrass elliptic function Abramowitz and Stegun Elliptic functions Elliptic curves Period lattice
sameAs	Equianharmonic Equianharmonic Equianharmonic Equianharmonic
dbp:wikiPageUsesTemplate	dbt:Unreferenced
has abstract	In mathematics, and in particular the study of Weierstrass elliptic functions, the equianharmonic case occurs when the Weierstrass invariants satisfy g2 = 0 and g3 = 1.This page follows the terminology of Abramowitz and Stegun; see also the lemniscatic case. (These are special examples of complex multiplication.) In the equianharmonic case, the minimal half period ω2 is real and equal to where is the Gamma function. The half period is Here the period lattice is a real multiple of the Eisenstein integers. The constants e1, e2 and e3 are given by The case g2 = 0, g3 = a may be handled by a scaling transformation. (en)
prov:wasDerivedFrom	wikipedia-en:Equianharmonic?oldid=607152996&ns=0
page length (characters) of wiki page	1211 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Equianharmonic
is foaf:primaryTopic of	wikipedia-en:Equianharmonic

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