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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

Special units in real cyclic sextic fields


Author: Marie-Nicole Gras
Journal: Math. Comp. 48 (1987), 179-182
MSC: Primary 11R27; Secondary 11R20
MathSciNet review: 866107
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Abstract: We study the real cyclic sextic fields generated by a root w of $ {(X - 1)^6} - ({t^2} + 108){({X^2} + X)^2}$, $ t \in {\mathbf{Z}} - \{ 0, \pm 6, \pm 26\} $ . We show that, when $ {t^2} + 108$ is square-free (except for powers of 2 and 3), and $ t \ne 0$, $ \pm 10$, $ \pm 54$, then w is a generator of the module of relative units. The details of the proofs are given in [3].


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1987-0866107-1
PII: S 0025-5718(1987)0866107-1
Article copyright: © Copyright 1987 American Mathematical Society