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).
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).
Weisstein, Eric W. "Stickelberger Relation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StickelbergerRelation.html