ON THE REMAK HEIGHT, THE MAHLER MEASURE AND CONJUGATE SETS OF ALGEBRAIC NUMBERS LYING ON TWO CIRCLES

DOI10.1017/S001309159900098XzbMath0997.11087OpenAlexW2143482305MaRDI QIDQ2716973

Christopher J. Smyth, Arturas Dubickas

Publication date: 12 November 2002

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001309159900098x

zbMATH Keywords

Mahler measurePisot numberSalem numberRemak height

Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items

On metric heights ⋮ Mahler measures of Pisot and Salem type numbers ⋮ On Salem half-norms ⋮ On the intersection of infinite geometric and arithmetic progressions ⋮ ALGEBRAIC PROPERTIES OF WEAK PERRON NUMBERS ⋮ Units in number fields satisfying a multiplicative relation with application to Oeljeklaus-Toma manifolds ⋮ The values of Mahler measures ⋮ Salem numbers as Mahler measures of nonreciprocal units ⋮ On a certain geometric mean of the values of a polynomial ⋮ The Lehmer constants of an annulus