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Finding fundamental units in totally real fields

Published online by Cambridge University Press:  24 October 2008

T. W. Cusick
T. W. Cusick
Affiliation:
State University of New York at Buffalo
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Extract

Let F a totally real cubic field. For any number α in F, let α, α′, α″ denote the conjugates of α. Define the function T(α) by

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Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 96 , Issue 2 , September 1984 , pp. 191 - 194
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

REFERENCES

[1]Cassels, J. W. S.. An Introduction to the Geometry of Numbers (Springer, 1959).CrossRefGoogle Scholar
[2]Cusick, T. W.. Finding fundamental units in cubic fields. Math. Proc. Cambridge Philos. Soc. 92 (1982), 385–389.CrossRefGoogle Scholar
[3]Godwin, H. J.. The determination of units in totally real cubic fields. Proc. Cambridge Philos. Soc. 56 (1960), 318–321.CrossRefGoogle Scholar
[4]Godwin, H. J.. A note on Cusick’s theorem on units in totally real cubic fields. Math. Proc. Cambridge Philos. Soc. 95 (1984), 1–2.CrossRefGoogle Scholar