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A Note on a Discriminant Inequality

Published online by Cambridge University Press:  20 November 2018

J. H. H. Chalk
J. H. H. Chalk*
Affiliation:
Theory of Numbers Institute, University of Colorado, Boulder, Colorado and McMaster University
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The following conjecture has been investigated recently by Mordell [1]. “Let z1 , …, zn be any set of n complex numbers. Then

1

the equality sign being necessary in the case when the z's are at the vertices of a regular n-sided polygon with center at the origin.”

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 3 , Issue 1 , 01 January 1960 , pp. 7 - 9
Copyright
Copyright © Canadian Mathematical Society 1960

References

1. Mordell, L. J., On a discriminant inequality, Canadian J. of Math., (in course of publication).Google Scholar
2. Mulholland, H. P., Inequalities between the geometric mean difference and the polar moments of a plane distribution, J. London Math. Soc. 33 (1958), 260-270.Google Scholar