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Keywords:
greatest common divisor; natural density; Piatetski-Shapiro sequence
greatest common divisor; natural density; Piatetski-Shapiro sequence
Summary:
We use the estimation of the number of integers $n$ such that $\lfloor n^c \rfloor $ belongs to an arithmetic progression to study the coprimality of integers in $\mathbb {N}^c=\{ \lfloor n^c \rfloor \}_{n\in \mathbb {N}}$, $c>1$, $c\notin \mathbb {N}$.
References:
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