Abstract: | We consider systems of strongly additive functions defined on the set of rational numbers and taking the values 0 and 1 on
prime elements of ℚ. For these systems, we obtain necessary and sufficient conditions for the weak convergence to the Poisson
law.
Research supported by the Lithuanian State Science and Studies Foundation.
Vilnius University, Naugarduko 24, 2600 Vilnius, Lithuania. Translated from Lietuvos Matematikos Rinkinys, Vol. 39, No. 3,
pp. 425–439, July–September, 1999.
Translated by J. <Siaulys |