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arXiv · 1111.4023

On fully split lacunary polynomials in finite fields

Khodakhast Bibak·Igor E. Shparlinski
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Abstract

We estimate the number of possible types degree patterns of $k$-lacunary polynomials of degree $t < p$ which split completely modulo $p$. The result is based on a combination of a bound on the number of zeros of lacunary polynomials with some graph theory arguments.

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Khodakhast Bibak, Igor E. Shparlinski. 2011-11-17. On fully split lacunary polynomials in finite fields. https://arxiv.org/abs/1111.4023

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