Irreducible polynomials with all but one zero close to the unit disk

• Autorzy: DoYong Kwon
• Języki publikacji: EN

Abstrakty

EN

We consider a certain class of polynomials whose zeros are, all with one exception, close to the closed unit disk. We demonstrate that the Mahler measure can be employed to prove irreducibility of these polynomials over ℚ.

Kategorie tematyczne

• 11R06: PV-numbers and generalizations; other special algebraic numbers; Mahler measure
• 30C15: Zeros of polynomials, rational functions, and other analytic functions (e.g. zeros of functions with bounded Dirichlet integral)
• 11R09: Polynomials (irreducibility, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 143
• Numer: 2
• Strony: 265-270

Daty

wydano

2016

Twórcy

autor

DoYong Kwon

• Department of Mathematics, Chonnam National University, Gwangju 500-757, Republic of Korea

Identyfikatory

DOI

10.4064/cm6604-11-2015