On Fully Split Lacunary Polynomials in Finite Fields
Khodakhast Bibak, Igor E. Shparlinski (2011)
Bulletin of the Polish Academy of Sciences. Mathematics
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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.