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Two variations of a theorem of Kronecker

Article ID Journal Published Year Pages File Type
9492840 Expositiones Mathematicae 2005 6 Pages PDF
Abstract
We present two variations of Kronecker's classical result that every nonzero algebraic integer that lies with its conjugates in the closed unit disc is a root of unity. The first is an analogue for algebraic nonintegers, while the second is a several variable version of the result, valid over any field.
Keywords
15A15Algebraic numbersRoots of unityPolynomials
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Two variations of a theorem of Kronecker
Authors
Artūras Dubickas, Chris Smyth,
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Journal
Expositiones Mathematicae
Journal: Expositiones Mathematicae
Related Categories
15A15
Algebraic numbers
Roots of unity
Polynomials
Algebra and Number Theory
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Logic
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