2006•Basic Sciences Journal of Textile UniversitiesRequires access

An asymptotic formula involving e-divisor function

Zhao Yuan-e

Abstract

Let n1 be an integer,and np~(α_1)_1p~(α_2)_2…p~(α_k)_k is it′s prime factorization.A number mp~(β_1)_1p~(β_2)_2…p~(β_r)_r is called an e-divisor of n if β_i|α_i with i1,2,…,k.Note d_e(n) is the number of all e-divisor of n.By using the analytic methods,the mean value properties of the e-divisor function on the set of k-full numbers are studied,and an interesting asymptotic formula is given.

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Divisor function, Divisor (algebraic geometry), Prime factor, Mathematics, Asymptotic formula, Integer (computer science), Combinatorics, Function (biology)