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On the degree of a linear form in conjugates of an algebraic number

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Publication:1850266
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zbMath1028.11066MaRDI QIDQ1850266

Arturas Dubickas

Publication date: 1 January 2003

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

degreealgebraic numberconjugatesgeometric problems


Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04)


Related Items (10)

Rational quotients of two linear forms in roots of a polynomial ⋮ Unnamed Item ⋮ Wandering points for the Mahler measure ⋮ No two non-real conjugates of a Pisot number have the same imaginary part ⋮ Linear relations with conjugates of a Salem number ⋮ On the number of integer polynomials with multiplicatively dependent roots ⋮ On the degree of compositum of two number fields ⋮ A degree problem for two algebraic numbers and their sum ⋮ Additive Hilbert's theorem 90 in the ring of algebraic integers ⋮ An effective version of the primitive element theorem







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