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arxiv: 2008.09962 · v1 · pith:CBPUCCY2new · submitted 2020-08-23 · 🧮 math.NT

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

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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.

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