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Closed sets of algebraic numbers in complete fields

Published online by Cambridge University Press:  26 February 2010

C. J. Smyth
C. J. Smyth
Affiliation:
Trinity College, Cambridge.
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Extract

A PV-number is defined to be an algebraic integer θ, of modulus greater than one, all of whose conjugates (excluding θ itself) lie inside the unit circle. Salem [1] has shown that the set S of PV-numbers forms a closed subset of the real line.

Type
Research Article
Information
Mathematika , Volume 17 , Issue 2 , December 1970 , pp. 199 - 205
Copyright
Copyright © University College London 1970

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References

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