The $p$-Adic Valuations of Weil Sums of Binomials

Daniel J. Katz, Philippe Langevin, Sangman Lee +1

We investigate the $p$-adic valuation of Weil sums of the form $W_{F,d}(a)={\sum }_{x\in F}\psi (x^d-ax)$, where $F$ is a finite field of characteristic $p$, $\psi$ is the canonical addi…