The value distribution of additive arithmetic functions on a line

被引：4
作者：
Elliott, P. D. T. A. [1 ]
机构：
[1] Univ Colorado, Dept Math, Boulder, CO 80309 USA
来源：
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2010年 / 642卷
关键词：
MULTIPLICATIVE FUNCTIONS; PROGRESSIONS; NUMBER; MODULI;
D O I：
10.1515/CRELLE.2010.037
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A stability study of the correlations of multiplicative arithmetic functions yields necessary and sufficient conditions that the frequency distributions naturally attached to sums of additive arithmetic functions f(1)(n) + f(2)(N - n) on the integers not exceeding N possess a limiting distribution as N traverses the positive integers, or the positive primes. Moreover, the functions fj may be allowed a wide class of unbounded renormalizations.
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收藏
页码：57 / 108
页数：52
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