Let 
be a prime ideal in 
not containing 
. Then
 |
where the sum is over all 
which are relatively
prime to 
.
Here 
is the ring of integers in 
, 
, and other quantities are defined by Ireland and
Rosen (1990).
Stickelberger Relation
See also
Prime IdealExplore with Wolfram|Alpha
References
Ireland, K. and Rosen, M. "The Stickelberger Relation and the Eisenstein Reciprocity Law." Ch. 14 in A Classical Introduction to Modern Number Theory, 2nd ed. New York: Springer-Verlag, pp. 203-227, 1990.Referenced on Wolfram|Alpha
Stickelberger RelationCite this as:
Weisstein, Eric W. "Stickelberger Relation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StickelbergerRelation.html