Mean-value theorems for multiplicative functions on Beurling’s generalized integers (I)

被引：0
|
作者：
Wen-Bin Zhang
机构：
[1] University of Illinois,Department of Mathematics
[2] University of The West Indies,Department of Mathematics
来源：
Mathematische Zeitschrift | 2005年 / 251卷
关键词：
11N80; 11N60; 11K65;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Halász’s general mean-value theorem for multiplicative functions on ℕ is classical in probabilistic number theory. We extend this theorem to functions f, defined on a set [inline-graphic not available: see fulltext] of generalized integers associated with a set [inline-graphic not available: see fulltext] of generalized primes in Beurling’s sense, which satisfies Halász’s conditions, in particular,
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页码：359 / 391
页数：32
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