On fully split lacunary polynomials in finite fields

Bibak, Khodakhast
Shparlinski, Igor E

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Publication date

January 2011

DOI

10.4064/ba59-3-1

Publisher

Institute of Mathematics, Polish Academy of Sciences

Journal

Bulletin of the Polish Academy of Sciences Mathematics

Abstract

We estimate the number of possible 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.6 page(s

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On fully split lacunary polynomials in finite fields

Abstract

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On fully split lacunary polynomials in finite fields

Abstract

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