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arXiv · 2008.09962

On the number of distinct roots of a lacunary polynomial over finite fields

Jozsef Solymosi·Ethan P. White·Chi Hoi Yip
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Abstract

We obtain new upper bounds on the number of distinct roots of lacunary polynomials over finite fields. Our focus will be on polynomials for which there is a large gap between consecutive exponents in the monomial expansion.

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Jozsef Solymosi, Ethan P. White, Chi Hoi Yip. 2020-08-23. On the number of distinct roots of a lacunary polynomial over finite fields. https://doi.org/10.1016/j.ffa.2021.101820

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