The Number of Prime Factors on Average in Certain Integer Sequences

被引：0

作者：

Jakimczuk, Rafael ^{[1
]}

Lalin, Matilde ^{[2
]}

机构：

[1] Univ Nacl Lujan, Div Matemat, Buenos Aires, DF, Argentina

[2] Univ Montreal, Dept Math & Stat, CP 6128, Montreal, PQ H3C 3J7, Canada

来源：

JOURNAL OF INTEGER SEQUENCES | 2022年 / 25卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Omega(n); integer sequence; h-free number; h-full number; perfect power;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Omega(n) denote the total number of primes in the factorization of the integer n. We obtain asymptotic formulae for the sums Sigma(n <= x) Omega(n), where n runs over the square-free numbers, the square-full numbers, the perfect powers, and generalizations of these families of numbers.

引用

页数：15

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