Results 141 to 150 of about 1,812,540 (189)

A note on cyclotomic fields

Inventiones Mathematicae, 1976
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Cyclotomic fields with unique factorization

Masley, J.Myron, Montgomery, Hough L.
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On the distribution of the signs of cyclotomic units of a cyclotomic field

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Cyclotomic Splitting Fields

Canadian Mathematical Bulletin, 1982
AbstractLet D be a division algebra whose class [D] is in B(K), the Brauer group of an algebraic number field K. If [D⊗KL] is the trivial class in B(L), then we say that L is a splitting field for D or L splits D. The splitting fields in D of smallest dimension are the maximal subfields of D.
R. A. Mollin
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Canonical bases for cyclotomic fields

Applicable Algebra in Engineering, Communications and Computing, 1990
Der Autor konstruiert eine Ganzheitsbasis des \(n\)-ten Kreiskörpers \(\mathbb{Q}^{(n)}\), welche für jedes \(d\mid n\) eine Ganzheitsbasis von \(\mathbb{Q}^{(d)}\) als Teilsystem enthält.
Wieb Bosma
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Integral Bases for Subfields of Cyclotomic Fields

Applicable Algebra in Engineering, Communications and Computing, 1997
The standard integral basis \(B_n = \{1, \zeta, \ldots, \zeta^{\phi(n)-1}\}\) for the field of \(n\)-th roots of unity does not have the property that \(B_m \subset B_n\) for \(m \mid n\). \textit{W. Bosma} [Appl. Algebra Eng. Commun. Comput. 1, 125-134 (1990; Zbl 0741.11041)] has constructed integral bases with this property.
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Ordinary cyclotomic function fields [PDF]

Journal of Number Theory, 2013
The purpose of this paper is to study the p-rank of the Jacobian of cyclotomic function fields.
Shiomi, Daisuke
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