The mean values of logarithms of algebraic integers

DOI10.5802/JTNB.230zbMath0923.11145OpenAlexW2088528120MaRDI QIDQ1292621

Arturas Dubickas

Publication date: 23 June 1999

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1998__10_2_301_0

zbMATH Keywords

Mahler's measurelogarithms of algebraic integersmean values of logarithms

Mathematics Subject Classification ID

Algebraic numbers; rings of algebraic integers (11R04)

Cites Work

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• Solution des problèmes de Favard. (Solution of the Favard problems)
• On algebraic numbers of small height: Linear forms in one logarithm
• A relationship between the Mahler measure and the discriminant of algebraic numbers
• On the average difference between two conjugates of an algebraic number
• A refinement of two theorems of Kronecker
• The trace of totally positive and real algebraic integers
• On a question of Lehmer and the number of irreducible factors of a polynomial
• The Mean Values of Totally Real Algebraic Integers
• Algebraic integers whose conjugates lie near the unit circle
• On a conjecture of A. Schinzel and H. Zassenhaus
• On a conjecture of D. H. Lehmer
• An effective lower bound for the height of algebraic numbers
• Algebraic integers near the unit circle
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer

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