Algebraic integers whose conjugates lie near the unit circle

DOI10.24033/bsmf.1868zbMath0396.12002OpenAlexW2460582451MaRDI QIDQ4179091

Cameron L. Stewart

Publication date: 1978

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1978__106__169_0

zbMATH Keywords

Location of Algebraic IntegersUnit Circle

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (12)

Double roots of random Littlewood polynomials ⋮ Small Salem numbers, exceptional units, and Lehmer's conjecture ⋮ Unnamed Item ⋮ Lower bounds for heights on elliptic curves ⋮ Lehmer's conjecture for polynomials satisfying a congruence divisibility condition and an analogue for elliptic curves ⋮ Kronecker's theorem and Lehmer's problem for polynomials in several variables ⋮ Exceptional Units and Numbers of Small Mahler Measure ⋮ A lower bound for the canonical height on elliptic curves over abelian extensions. ⋮ Dissipation enhancement by mixing ⋮ Non-vanishing of class group L-functions for number fields with a small regulator ⋮ Auxiliary functions in transcendental number theory ⋮ The mean values of logarithms of algebraic integers

Cites Work

• Unnamed Item
• Nombres transcendants
• Linear forms in two logarithms and Schneider's method
• Small Salem numbers
• Factorization of certain cyclotomic functions
• A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan
• Algebraic integers whose conjugates lie in the unit circle
• Algebraic integers near the unit circle
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer

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