Author Affiliation, Ana.
Department of Mathematics and Computer Science
Probabilistic number theory in additive arithmetic semigroups II
Date of Publication
We prove two quantitative mean-value theorems of completely multiplicative functions on additive arithmetic semigroups. On the basis of the two theorems, a central limit theorem of additive functions on additive arithmetic semigroups is proved with a best possible error estimate. This generalizes the vital results of Halász and Elliott in classical probabilistic number theory to function fields. (AU)....