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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Cyclotomy and delta units

Author: Andrew J. Lazarus
Journal: Math. Comp. 61 (1993), 295-305
MSC: Primary 11R27; Secondary 11R16, 11R18, 11R20
MathSciNet review: 1189520
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Abstract: In this paper we examine cyclic cubic, quartic, and quintic number fields of prime conductor p containing units that bear a special relationship to the classical Gaussian periods: $ {\eta _j} - {\eta _{j + 1}} + c$ is a unit for periods $ {\eta _j}$ and $ c \in \mathbb{Z}$.

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Keywords: Units, cyclotomy, Gaussian periods
Article copyright: © Copyright 1993 American Mathematical Society

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