Generalization of Erdős-Kac theorem

doi:10.1007/s11464-019-0808-2

Front. Math. China

2019, Vol. 14

Issue (6) : 1303-1316 https://doi.org/10.1007/s11464-019-0808-2

RESEARCH ARTICLE

Generalization of Erdős-Kac theorem

Yalin SUN¹(

), Lizhen WU²

¹. School of Mathematical Sciences, East China Normal University, Shanghai 200241, China
². School of Mathematical Sciences and Statistics, Henan University, Kaifeng 475004, China

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Abstract

Let ω(n) is the number of distinct prime factors of the natural number n,we consider two cases where $ℓ$ is even and odd natural numbers, and then we prove a more general form of the classical Erdős-Kac theorem.

Keywords Erdős-Kac theorem central limit theorem value distribution

Corresponding Author(s): Yalin SUN

Issue Date: 07 January 2020

Cite this article:

Yalin SUN,Lizhen WU. Generalization of Erdős-Kac theorem[J]. Front. Math. China, 2019, 14(6): 1303-1316.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-019-0808-2
https://academic.hep.com.cn/fmc/EN/Y2019/V14/I6/1303

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