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Sums of three roots of unity

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 object of this paper is to prove a conjecture made by Robinson (1) concerning cyclotomic integers, that is, integers that are rationally expressible in terms of roots of unity.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 3 , July 1968 , pp. 673 - 682
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Robinson, R. M.Some conjectures about cyclotomic integers. Math. Comp. 19 (1965), 210–217.CrossRefGoogle Scholar
(2)Davenport, H. and Schinzel, A.Diophantine approximation and sums of roots of unity. Math. Ann. 169 (1967), 118–135.CrossRefGoogle Scholar
(3)Dickson, L. E.Introduction to the theory of numbers (Chicago, 1929).Google Scholar
(4)Jacobsthal, E.über sequenzen ganzer Zahlen, von denen keine zu n teilerfremd ist. I–V, Norske Vid. Selsk. Forh. (Trondheim) 33 (1960), 117–124; 125–131; 132–139; 34 (1961), 1–7; 110–115.Google Scholar