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Estimates of Certain Sums Involving Reciprocals of the Smallest Prime Factor of an Integer
Received:June 26, 1997
Key Words
:
the smallest prime factor
the largest prime factor.
Fund Project
:
Author Name
Affiliation
CAO Hui-zhong
Dept. of Math.
,
Shandong University
,
Jinan 250100
,
China
Hits
:
1963
Download times
:
856
Abstract
:
Let p(n) denote the smallest prime factor of n>1. The asymptotic formula for the sum is given, where f
v
(n) are a class of arithmetical functions.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2000.04.024
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