A note on a theorem of Daboussi

被引：2

作者：

Indlekofer, KH

Kátai, I

机构：

[1] Univ Gesamthsch Paderborn, D-33098 Paderborn, Germany

[2] Eotvos Lorand Univ, Dept Comp Algebra, H-1117 Budapest, Hungary

来源：

ACTA MATHEMATICA HUNGARICA | 2003年 / 101卷 / 03期

关键词：

multiplicative functions; exponential sums;

D O I：

10.1023/B:AMHU.0000003905.81442.2c

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The following assertion is proved. Let N-k be the set of integers the number of the prime power of which is k. Let pi(k)(x) be the size of N(k)boolean AND[1, x]. Then for each irrational alpha, uniformly in (0 <)delta < k/log log x < 2 - delta, [GRAPHICS] where f is an arbitrary multiplicative function with \f(n)\ = 1, delta is a positive constant.

引用

页码：211 / 216

页数：6