Short interval results for certain prime-independent multiplicative functions

被引：0
|
作者：
Bordelles, Olivier [1 ]
机构：
[1] 2 Allee Combe, F-43000 Aiguilhe, France
来源：
JOURNAL OF NUMBER THEORY | 2017年 / 177卷
关键词：
Short sums; Prime-independent multiplicative; functions; Local density; ISOMORPHIC ABELIAN-GROUPS; PLANE PARTITIONS; NUMBER; ORDER;
D O I：
10.1016/j.jnt.2017.01.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using bounds for certain sums of fractional parts over r-full numbers coming from the theory of integer points close to smooth curves, we give an asymptotic formula for the distribution of values of a class of integer-valued prime independent multiplicative functions in short intervals. (C) 2017 Elsevier Inc. All rights reserved.
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页码：100 / 111
页数：12
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