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A Kronecker-Type Theorem for Complex Polynomials in Several Variables

Published online by Cambridge University Press:  20 November 2018

C. J. Smyth
C. J. Smyth*
Affiliation:
Department of Mathematics, James Cook University of North Queensland, Townsville, Qld Australia
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Abstract

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We give a classification result for "extreme-monic" polynomials in several variables having measure 1. The result implies a recent several-variable generalization, by D. W. Boyd, of Kronecker's classical theorem (that all zeros of a monic integral polynomial, with non-zero constant term and measure 1, are roots of unity).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 4 , 01 December 1981 , pp. 447 - 452
Copyright
Copyright © Canadian Mathematical Society 1981

References

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