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Finding minimal polynomials of algebraic numbers of the form tan<sup>2</sup>(π/n) using Tschirnhausen’s transform

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dc.contributor.author Galyautdinov I.
dc.contributor.author Lavrentyeva E.
dc.date.accessioned 2018-09-19T22:09:51Z
dc.date.available 2018-09-19T22:09:51Z
dc.date.issued 2016
dc.identifier.issn 1995-0802
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/144789
dc.description.abstract © 2016, Pleiades Publishing, Ltd.Solutions of two problems are proposed based on the Tschirnhausen transform. The first problem is connected with the construction of minimal polynomials of the numbers of the form tan2(π/n) by means of the Tschirnhausen transform for all natural n > 2. The second problem consists in finding the exact roots of the equation x3 − 7x − 7 = 0. A solution of the problem is obtained from the fact that the roots of the equation produce the cyclotomic field Q7. Examples of construction of minimal polynomials are provided.
dc.relation.ispartofseries Lobachevskii Journal of Mathematics
dc.subject algebraic numbers
dc.subject cyclotomic fields and their subfileds
dc.subject minimal polynomials
dc.subject Tschirnhausen transform
dc.title Finding minimal polynomials of algebraic numbers of the form tan<sup>2</sup>(π/n) using Tschirnhausen’s transform
dc.type Article
dc.relation.ispartofseries-issue 3
dc.relation.ispartofseries-volume 37
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 342
dc.source.id SCOPUS19950802-2016-37-3-SID84971613845


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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