THE NON-CYCLOTOMIC PART OF f(x)xn+ g(x) AND ROOTS OF RECIPROCAL POLYNOMIALS OFF THE UNIT CIRCLE

DOI10.1142/S1793042113500620zbMath1279.11027MaRDI QIDQ2867006

Andrew F. Vincent, Michael Filaseta, Edward Dobrowolski

Publication date: 10 December 2013

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

cyclotomicMahler measureirreduciblereciprocal

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials (irreducibility, etc.) (11R09) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (3)

On a class of lacunary almost Newman polynomials modulo \(p\) and density theorems ⋮ On the irreducibility of the non-reciprocal part of polynomials of the form $f(x) x^n + g(x)$ ⋮ Algebraic integers with small absolute size

Cites Work

• On the Product of the Conjugates outside the unit circle of an Algebraic Integer
• Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results

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