Root separation for irreducible integer polynomials

Abstract

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).

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

References in corpus (1)

• Root separation for irreducible integer polynomials

Cited by in corpus (7)

• Root separation for irreducible integer polynomials
• Absolute real root separation
• On Diophantine exponents for Laurent series over a finite field
• Discriminant and root separation of integral polynomials
• Counting and testing dominant polynomials
• Upper Bounds on Polynomial Root Separation
• Distribution of complex algebraic numbers