Grandet, Marthe Sur un ensemble d’entiers algébriques. (French) Zbl 0102.27704 C. R. Acad. Sci., Paris 252, 1542-1543 (1961). An algebraic integer is said to belong to the set \(S\) if its modulus is greater than 1 while the moduli of all its conjugates are smaller than 1. The second derived set of \(S\) is denoted by \(S''\). It is proved (in outline only) that the minimum modulus of points in \(S''\) is equal to 2. Reviewer: L. Mirsky Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 2 Documents MSC: 11R04 Algebraic numbers; rings of algebraic integers 11R06 PV-numbers and generalizations; other special algebraic numbers; Mahler measure Keywords:derived sets of algebraic integers PDF BibTeX XML Cite \textit{M. Grandet}, C. R. Acad. Sci., Paris 252, 1542--1543 (1961; Zbl 0102.27704) OpenURL