Abstract
Let ? be an algebraic number with no nonnegative conjugates over the field of
the rationals. Settling a recent conjecture of Kuba, Dubickas proved that the
number ? is a root of a polynomial, say P, with positive rational
coefficients. We give in this note an upper bound for the degree of P in
terms of the discriminant, the degree and the Mahler measure of ?; this
answers a question of Dubickas.
nema