Polynomials Generating Maximal Real Subfields of Circular Fields

We have constructed recurrence formulas for polynomials qn(x) ɕ Q[x], any root of which generates the maximal real subfield of circular field K2n. It has been shown that all real subfields of fixed field K2n can be described by using polynomial qn(x) and its Galois group. Furthermore, a methodology...

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Bibliographic Details
Main Authors: I.G. Galyautdinov, E.E. Lavrentyeva
Format: Article
Language:Russian
Published: Kazan Federal University 2016-12-01
Series:Učënye Zapiski Kazanskogo Universiteta: Seriâ Fiziko-Matematičeskie Nauki
Subjects:
Online Access:http://kpfu.ru/portal/docs/F1697277406/158_4_phys_mat_2.pdf