S. Janphaisaeng, T. Srichan, Pinthira Tangsupphathawat
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Average value of some certain types of arithmetic functions with Piatetski-Shapiro sequences
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 $1& < c < 2$.
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