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

Siddharth Iyer,Igor E Shparlinski

doi:10.1016/j.ffa.2023.102335

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

Siddharth Iyer, Igor E Shparlinski

https://doi.org/10.1016/j.ffa.2023.102335

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Journal: Finite Fields and Their Applications	Publication Date: Nov 1, 2023
Citations: 2

Affiliation: UNSW Sydney

#Finite Fields #Additive Characters + Show 8 more

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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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