Root separation for irreducible integer polynomials

Details Root separation for irreducible integer polynomials Root separation for irreducible integer polynomials

2010-07-20

arxiv.org/abs/1007.3406v2

Mathematics

Number Theory

8 pages; revised version; to appear in Bull. Lond. Math. Soc

Scientific paper

We establish new results on root separation of integer, irreducible
polynomials of degree at least four. These improve earlier bounds of Bugeaud
and Mignotte (for even degree) and of Beresnevich, Bernik, and Goetze (for odd
degree).

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