Character sums over elements of extensions of finite fields with restricted coordinates

Siddharth Iyer, Igor Shparlinski

Published 2023-09-06Version 1

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. \