## Stickelberger Relation

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).

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.