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

Siddharth Iyer; Igor Shparlinski

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arXiv · 2309.02948

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

Siddharth Iyer·Igor Shparlinski

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Abstract

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.

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Siddharth Iyer, Igor Shparlinski. 2023-09-06. Character sums over elements of extensions of finite fields with restricted coordinates. https://arxiv.org/abs/2309.02948

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