The measure of totally positive algebraic integers

DOI10.1016/j.jnt.2012.06.003zbMath1310.11108OpenAlexW2082757094MaRDI QIDQ1762286

Qiang Wu, Quanwu Mu

Publication date: 23 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.06.003

zbMATH Keywords

LLL algorithmsemi-infinite linear programmingexplicit auxiliary functionabsolute lengthtotally positive algebraic integerabsolute Mahler measure

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 (4)

THE ABSOLUTE -MEASURE OF TOTALLY POSITIVE ALGEBRAIC INTEGERS ⋮ Upper bounds for the usual measures of totally positive algebraic integers with house less than 5.8 ⋮ The Mahler measure and its areal analog for totally positive algebraic integers ⋮ On the absolute length of polynomials having all zeros in a sector

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