A characterization of Jacobi sums

Andrew Snowden

Let $\mathbb{M}$ be the group of multiplicative characters of a finite field $\mathbb{F}$, and let $\mathbb{J}(\hat{I}\pm ,{\hat{I}}^2)$ be the Jacobi sum, for $\hat{I}\pm ,{\hat{I}}^2\in \mathbb{M}$. We observe th…