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- Title
Probabilistic number theory in additive arithmetic semigroups II.
- Authors
Zhang, Wen-Bin
- Abstract
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.
- Publication
Mathematische Zeitschrift, 2000, Vol 235, Issue 4, p747
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s002090000165