Average value of some certain types of arithmetic functions with Piatetski-Shapiro sequences
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Published:2022-08-04
Issue:3
Volume:28
Page:500-506
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ISSN:1310-5132
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Container-title:Notes on Number Theory and Discrete Mathematics
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language:
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Short-container-title:NNTDM
Author:
Janphaisaeng Suphawan, ,Srichan Teerapat,Tangsupphathawat Pinthira, ,
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 $1& < c < 2$.
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)