Ph. Cassou-Noguès

Un élément de stickelberger quadratique

Les l ≥7 denote a prime number and let K denote a number field. To an elliptic curve defined over K , endowed with a K -point of order l , we associate an elliptic Gauss sum; the prime ideal factorisation of this new sum then leads naturally to the construction of a quadratic Stickelberger element.