2 papers
math.NT2003
Quadratic reciprocity in a finite group
William Duke, Kimberly Spears
In this article we define a quadratic symbol for a finite group and prove a law of reciprocity for its value.
math.NT2001
The splitting of primes in division fields of elliptic curves
William Duke, Arpad Toth
In this paper we will give a global description of the Frobenius for the division fields of an elliptic curve E which is strictly analogous to the cyclotomic case. This is then app…