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Sur un ensemble d’entiers algébriques. (French) Zbl 0102.27704

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

MSC:

11R04 Algebraic numbers; rings of algebraic integers
11R06 PV-numbers and generalizations; other special algebraic numbers; Mahler measure
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