Rationality of Four-Valued Families of Weil Sums of Binomials

Daniel J. Katz, Allison E. Wong

We investigate the rationality of Weil sums of binomials of the form $W_u^{K,s}={\sum }_{x\in K}\psi (x^s-ux)$, where $K$ is a finite field whose canonical additive character is $\psi$,…