Work

Average value of some certain types of arithmetic functions with Piatetski-Shapiro sequences

Year: 2022

Type: article

Abstract: In this paper, we study asymptotic behaviour of the sum $\sum_{n\leq N}{f}\Big(\lfloor n^c \rfloor\Big),$ where $f(n)=\sum_{d^2\mid n}g(d)$ under three different types of assumptions on $g$ and $1& < c < 2$.

Source: Notes on Number Theory and Discrete Mathematics

DOI: 10.7546/nntdm.2022.28.3.500-506

Authors: Suphawan Janphaisaeng, Teerapat Srichan, Pinthira Tangsupphathawat

Institutions: Naresuan University, Kasetsart University, Phranakhon Rajabhat University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4289837201

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Cites: 15

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Related to: 10