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Note on a Difference-Product Inequality

Published online by Cambridge University Press:  20 January 2009

A. C. Aitken
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L. J. Mordell has recently considered (1) the squared modulus of a complex difference-product, namely

under the conditions

and also under the quite different condition

He proves that under (2) the maximum of δ is nn, and is attained when and only when the zr are vertices of a regular n-gon on the unit circle.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 13 , Issue 2 , December 1962 , pp. 173 - 174
Copyright
Copyright © Edinburgh Mathematical Society 1962

References

(1) Mordeix, L. J., On a discriminant inequality, Can. J. Math, xii (1960), 699–704.Google Scholar