A weighted version of the Erdős–Kac theorem

Autor:	Micah B. Milinovich, Unique Subedi, Rizwanur Khan
Rok vydání:	2022
Předmět:	Combinatorics Algebra and Number Theory Mathematics::Number Theory Prime factor Divisor function Erdős–Kac theorem Mathematics
Zdroj:	Journal of Number Theory. 239:1-20
ISSN:	0022-314X
DOI:	10.1016/j.jnt.2021.10.010
Popis:	Let ω ( n ) denote the number of distinct prime factors of n and let τ k ( n ) denote the k-fold divisor function. Adapting a method of Granville and Soundararajan, we evaluate the centralized moments of ω ( n ) , weighted by τ k ( n ) , and deduce a weighted version of the Erdős-Kac Theorem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::73d50dd6b26670dad195ae7b78b822f4 https://doi.org/10.1016/j.jnt.2021.10.010 Zobrazit plný text záznamu Full Text from ScienceDirect