Proof of a Conjectured Three-Valued Family of Weil Sums of Binomials

Daniel J. Katz, Philippe Langevin

We consider Weil sums of binomials of the form $W_{F,d}(a)={\sum }_{x\in F}\psi (x^d-ax)$, where $F$ is a finite field, $\psi :F\to \mathbb{C}$ is the canonical additive character,…