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Algebraic integers with two conjugates outside the unit circle

Published online by Cambridge University Press:  24 October 2008

P. A. Samet
P. A. Samet
Affiliation:
Christ's CollegeCambridge
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Extract

In this paper we consider algebraic integers, θ, such that θ and θ¯ (θ ╪ θ¯) are the only algebraic conjugates of θ that lie outside the unit circle.

Let S1 be the set of algebraic integers, ρ, necessarily real, all of whose conjugates, except ρ, satisfy | z < 1.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 3 , July 1953 , pp. 421 - 436
Copyright
Copyright © Cambridge Philosophical Society 1953

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References

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