On fully split lacunary polynomials in finite fields
Number Theory
2011-11-18 v1
Abstract
We estimate the number of possible types degree patterns of -lacunary polynomials of degree which split completely modulo . The result is based on a combination of a bound on the number of zeros of lacunary polynomials with some graph theory arguments.
Cite
@article{arxiv.1111.4023,
title = {On fully split lacunary polynomials in finite fields},
author = {Khodakhast Bibak and Igor E. Shparlinski},
journal= {arXiv preprint arXiv:1111.4023},
year = {2011}
}
Comments
8 pages. Bull. Polish Acad. Sci. Math., to appear