Probabilistic number theory in additive arithmetic semigroups II

被引：0

作者：

Wen-Bin Zhang

机构：

[1] Department of Mathematics,

[2] University of Illinois,undefined

[3] 1409 West Green Street,undefined

[4] Urbana,undefined

[5] IL 61801,undefined

[6] USA,undefined

[7] Department of Mathematics,undefined

[8] University of The West Indies,undefined

[9] Mona,undefined

[10] Kingston,undefined

[11] Jamaica (e-mail: w-zhang1@math.uiuc.edu),undefined

来源：

Mathematische Zeitschrift | 2000年 / 235卷

关键词：

Mathematics Subject Classification (1991): 11N60, 11T55, 60F05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：747 / 816

页数：69

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