The maximal conjugate of a non-reciprocal algebraic integer

DOI10.1007/BF02465885zbMath0890.11030OpenAlexW1975502193MaRDI QIDQ1382865

Arturas Dubickas

Publication date: 26 March 1998

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02465885

zbMATH Keywords

maximal conjugatenon-reciprocal polynomialssize of algebraic integers

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (2)

Maximal values of symmetric functions in distances between points ⋮ House of algebraic integers symmetric about the unit circle

Cites Work

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• Factorization of certain cyclotomic functions
• A refinement of two theorems of Kronecker
• The maximal modulus of an algebraic integer
• Reciprocal Polynomials Having Small Measure
• On an Inequality of J. W. S. Cassels
• On a conjecture of A. Schinzel and H. Zassenhaus
• Reducibility of lacunary polynomials I
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer

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