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On the defining polynomials of maximal real cyclotomic extensions
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Aranes, Maria Teresa and Arenas, A. (2008) On the defining polynomials of maximal real cyclotomic extensions. Real Academia de Ciencias Exactas, Fisicas y Naturales. Revista. Serie A, Matematicas, Vol.102 (No.2). pp. 183-191. ISSN 1578-7303.
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Abstract
The aim of this paper is to show that the simplest techniques of linear algebra allow us to make explicit the defining equations of the maximal real cyclotomic extensions Q(zeta + zeta(-1)) of Q(zeta), where zeta stands for a primitive p(nu)-th rooot of unity with p a rational prime and nu any positive integer.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Polynomials, Cyclotomic fields | ||||
Journal or Publication Title: | Real Academia de Ciencias Exactas, Fisicas y Naturales. Revista. Serie A, Matematicas | ||||
Publisher: | Springer Italia Srl | ||||
ISSN: | 1578-7303 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.102 | ||||
Number: | No.2 | ||||
Number of Pages: | 9 | ||||
Page Range: | pp. 183-191 | ||||
Status: | Not Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Grant number: | MTM 2006-04895 |
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