Roots of polynomials of bounded height

DOI10.1216/RMJ-2009-39-2-527zbMATH Open1186.12001OpenAlexW2050585179MaRDI QIDQ1024949

Paulius Drungilas, Artūras Dubickas

Publication date: 18 June 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2009-39-2-527

zbMATH Keywords

unitspolynomial zerosNewman polynomialsbeta expansionsheight one polynomials

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04)

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Related Items (5)

On polynomials with only rational roots ⋮ Real polynomial iterative roots in the case of nonmonotonicity height \(\geqslant 2\) ⋮ Negative Pisot and Salem numbers as roots of Newman polynomials ⋮ On Newman polynomials which divide no Littlewood polynomial ⋮ DIOPHANTINE EQUATIONS FOR POLYNOMIALS WITH RESTRICTED COEFFICIENTS, I (POWER VALUES)

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