Geodesic
On Fully Split Lacunary Polynomials in Finite Fields
Khodakhast Bibak 1   ; Igor E. Shparlinski 2
1 Department of Combinatorics and Optimization University of Waterloo Waterloo, Ontario, Canada N2L 3G1
2 Department of Computing Macquarie University Sydney, NSW 2109, Australia
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) no. 3, pp. 197-202 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ba59-3-1
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

Khodakhast Bibak  1   ; Igor E. Shparlinski  2

1 Department of Combinatorics and Optimization University of Waterloo Waterloo, Ontario, Canada N2L 3G1
2 Department of Computing Macquarie University Sydney, NSW 2109, Australia 
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     title = {On {Fully} {Split} {Lacunary} {Polynomials} in {Finite} {Fields}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
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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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