On Fully Split Lacunary Polynomials in Finite Fields
Khodakhast Bibak ; Igor E. Shparlinski
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011), p. 197-202 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:286186 
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Khodakhast Bibak; Igor E. Shparlinski. On Fully Split Lacunary Polynomials in Finite Fields. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) pp. 197-202. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba59-3-1/