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# Wydawnictwa / Czasopisma IMPAN / Bulletin Polish Acad. Sci. Math. / Wszystkie zeszyty

## On Fully Split Lacunary Polynomials in Finite Fields

### Tom 59 / 2011

Bulletin Polish Acad. Sci. Math. 59 (2011), 197-202 MSC: Primary 11T06; Secondary 05C69. DOI: 10.4064/ba59-3-1

#### Streszczenie

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.

#### Autorzy

• Khodakhast BibakDepartment of Combinatorics and Optimization
University of Waterloo