Complex Pisot numbers in algebraic number fields

Let P(K) be the set of Pisot numbers generating a real algebraic number field K over the field of rationals Q. Then, a result of Meyer implies that P(K) is relatively dense in the interval [1, infinity) and a theorem of Pisot gives that P(K) contains units, whenever K not equal Q. In the present note, we prove analogous results for the set of complex Pisot numbers generating a non-real number field K' over Q when K' is neither a quadratic field nor a CM-field. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.