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About: Elliptic Gauss sum     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatEllipticCurves, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:Abstraction100002137yago:Attribute100024264yago:Curve113867641yago:Line113863771drugyago:Shape100027807yago:WikicatEllipticCurves New Facet based on Instances of this Class

In mathematics, an elliptic Gauss sum is an analog of a Gauss sum depending on an elliptic curve with complex multiplication. The quadratic residue symbol in a Gauss sum is replaced by a higher residue symbol such as a cubic or quartic residue symbol, and the exponential function in a Gauss sum is replaced by an elliptic function.They were introduced by Eisenstein, at least in the lemniscate case when the elliptic curve has complex multiplication by i, but seem to have been forgotten or ignored until the paper.