## 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

### Keywords:

derived sets of algebraic integers