On Fully Split Lacunary Polynomials in Finite Fields

Khodakhast Bibak, and Igor E. Shparlinski. "On Fully Split Lacunary Polynomials in Finite Fields." Bulletin of the Polish Academy of Sciences. Mathematics 59.3 (2011): 197-202. <http://eudml.org/doc/286186>.

@article{KhodakhastBibak2011,
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.},
author = {Khodakhast Bibak, Igor E. Shparlinski},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {roots of lacunary polynomials; finite fields; domination number},
language = {eng},
number = {3},
pages = {197-202},
title = {On Fully Split Lacunary Polynomials in Finite Fields},
url = {http://eudml.org/doc/286186},
volume = {59},
year = {2011},
}

TY - JOUR
AU - Khodakhast Bibak
AU - Igor E. Shparlinski
TI - On Fully Split Lacunary Polynomials in Finite Fields
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2011
VL - 59
IS - 3
SP - 197
EP - 202
AB - 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.
LA - eng
KW - roots of lacunary polynomials; finite fields; domination number
UR - http://eudml.org/doc/286186
ER -