**Suphawan Janphaisaeng, Teerapat Srichan and Pinthira Tangsupphathawat**

Notes on Number Theory and Discrete Mathematics

Print ISSN 1310–5132, Online ISSN 2367–8275

Volume 28, 2022, Number 3, Pages 500–506

DOI: 10.7546/nntdm.2022.28.3.500-506

**Full paper (PDF, 170 Kb)**

## Details

### Authors and affiliations

Suphawan Janphaisaeng

*Department of Mathematics, Faculty of Science, Naresuan University
Phitsanulok 65000, Thailand*

Teerapat Srichan

*Department of Mathematics, Faculty of Science, Kasetsart University
Bangkok 10900, Thailand*

Pinthira Tangsupphathawat

*Department of Mathematics, Faculty of Science and Technology, Phranakorn Rajabhat University
Bangkok 10220, Thailand*

### Abstract

In this paper, we study asymptotic behaviour of the sum where under three different types of assumptions on and .

### Keywords

- Arithmetic function
- Piatetski-Shapiro sequences

### 2020 Mathematics Subject Classification

- 11N37
- 11N69

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### Manuscript history

- Received: 2 March 2022
- Revised: 25 July 2022
- Accepted: 2 August 2022
- Online First: 4 August 2022

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## Cite this paper

Janphaisaeng, S., Srichan, T., & Tangsupphathawat, P. (2022). Average value of some certain types of arithmetic functions with Piatetski-Shapiro sequences. *Notes on Number Theory and Discrete Mathematics*, 28(3), 500-506, DOI: 10.7546/nntdm.2022.28.3.500-506.