Character sums over elements of extensions of finite fields with restricted coordinates
Siddharth Iyer, Igor E. Shparlinski · Finite Fields and Their Applications · 2023
We obtain nontrivial bounds for character sums with multiplicative and additive characters over finite fields over elements with restricted coordinate expansion. In particular, we obtain a nontrivial estimate for such a sum over a finite field analogue of the Cantor set.