On the smallest houses of reciprocal algebraic integers

DOI10.1016/j.jnt.2017.01.012zbMath1428.11187OpenAlexW2594007642MaRDI QIDQ529457

Zhuo Zhang, Qiang Wu

Publication date: 18 May 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.01.012

zbMATH Keywords

housereciprocalalgebraic integerexplicit auxiliary functioninteger transfinite diameter

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Algebraic number theory computations (11Y40) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items

The Reciprocal Algebraic Integers Having Small House

Cites Work

• Unnamed Item
• The absolute trace of totally positive reciprocal algebraic integers
• Size of algebraic integers
• Computational excursions in analysis and number theory
• A refinement of two theorems of Kronecker
• The smallest Perron numbers
• The Mean Values of Totally Real Algebraic Integers
• On the smallest value of the maximal modulus of an algebraic integer
• The Maximal Modulus of an Algebraic Integer
• Reciprocal Polynomials Having Small Measure
• On the linear independence measure of logarithms of rational numbers
• Integer transfinite diameter and polynomials with small Mahler measure