On fully split lacunary polynomials in finite fields

Details On fully split lacunary polynomials in finite fields On fully split lacunary polynomials in finite fields

2011-11-17

arxiv.org/abs/1111.4023v1

Mathematics

Number Theory

8 pages. Bull. Polish Acad. Sci. Math., to appear

Scientific paper

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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