On Fully Split Lacunary Polynomials in Finite Fields
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) no. 3, pp. 197-202
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
estimate number possible degree patterns k lacunary polynomials degree which split completely modulo nbsp result based combination bound number zeros lacunary polynomials graph theory arguments
Affiliations des auteurs :
Khodakhast Bibak 1 ; Igor E. Shparlinski 2
@article{10_4064_ba59_3_1,
author = {Khodakhast Bibak and Igor E. Shparlinski},
title = {On {Fully} {Split} {Lacunary} {Polynomials} in {Finite} {Fields}},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {197--202},
publisher = {mathdoc},
volume = {59},
number = {3},
year = {2011},
doi = {10.4064/ba59-3-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba59-3-1/}
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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) no. 3, pp. 197-202. doi: 10.4064/ba59-3-1
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