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

Chi Hoi Yip; Ethan P. White; Jozsef Solymosi

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arxiv 2008.09962 v1 pith:CBPUCCY2 submitted 2020-08-23 math.NT

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

Jozsef Solymosi , Ethan P. White , Chi Hoi Yip This is my paper

classification math.NT

keywords distinctfieldsfinitelacunarynumberpolynomialsrootsbounds

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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.

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

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