On the smallest value of the maximal modulus of an algebraic integer

DOI10.1090/S0025-5718-06-01958-2zbMath1126.11015MaRDI QIDQ3426034

Georges Rhin, Qiang Wu

Publication date: 7 March 2007

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

zbMATH Keywords

Mahler measurealgebraic integermaximal modulusSchinzel-Zassenhaus conjecture

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (8)

The smallest Perron numbers ⋮ THE TRACE PROBLEM FOR TOTALLY POSITIVE ALGEBRAIC INTEGERS ⋮ Properties of trinomials of height at least \(2\) ⋮ THE ABSOLUTE -MEASURE OF TOTALLY POSITIVE ALGEBRAIC INTEGERS ⋮ On the smallest houses of reciprocal algebraic integers ⋮ The measure of totally positive algebraic integers ⋮ Polynomials with all their roots on \(S^1\) ⋮ Totally positive algebraic integers with small trace

Cites Work

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• Size of algebraic integers
• Computational excursions in analysis and number theory
• A refinement of two theorems of Kronecker
• The Maximal Modulus of an Algebraic Integer
• On a conjecture of A. Schinzel and H. Zassenhaus
• On the linear independence measure of logarithms of rational numbers
• An effective lower bound for the height of algebraic numbers
• Integer transfinite diameter and polynomials with small Mahler measure
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer

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