ON A SUM OVER PRIMITIVE SEQUENCES OF FINITE DEGREE.

A sequence of strictly positive integers is said to be primitive if none of its terms divides the others and is said to be homogeneous if the number of prime factors of its terms counted with multiplicity is constant. In this paper, we construct primitive sequences A of degree, for which the Erdős's analogous conjecture for translated sums is not satisfied. [ABSTRACT FROM AUTHOR]