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Sums of three roots of unity. II

Published online by Cambridge University Press:  24 October 2008

A. J. Jones
A. J. Jones
Affiliation:
Trinity College, Cambridge
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Extract

The present paper is a sequel to a previous paper (1) in which I proved a conjecture made by R. M. Robinson concerning sums of three roots of unity. For any algebraic integer α, we denote by the maximum absolute value of α and all its algebraic conjugates. We say that α and β are equivalent if α = εβ′, where ε is some root of unity and β′ is some conjugate of β; when this happens we obviously have

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 1 , July 1969 , pp. 43 - 59
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

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Jacobstual, E.Über Sequenzen ganzer Zahien, von denen keine zu n teilerfremd ist. I–V, Norske Vid. Selsk. Forh. (Trondheim) 33 (1960), 125–131Google Scholar
Jacobstual, E.Über Sequenzen ganzer Zahien, von denen keine zu n teilerfremd ist. I–V, Norske Vid. Selsk. Forh. (Trondheim) 33 (1960), 132–139Google Scholar
Jacobstual, E.Über Sequenzen ganzer Zahien, von denen keine zu n teilerfremd ist. I–V, Norske Vid. Selsk. Forh. (Trondheim) 34 (1961), 1–7Google Scholar
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