Geodesic
Coprimality of integers in Piatetski-Shapiro sequences
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 1, pp. 197-212.

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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 $\mathbb {N}^c=\{ \lfloor n^c \rfloor \}_{n\in \mathbb {N}}$, $c>1$, $c\notin \mathbb {N}$.
DOI : 10.21136/CMJ.2022.0044-22
Classification : 11A05, 11K06
Keywords: greatest common divisor; natural density; Piatetski-Shapiro sequence 
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Pimsert, Watcharapon; Srichan, Teerapat; Tangsupphathawat, Pinthira. Coprimality of integers in Piatetski-Shapiro sequences. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 1, pp. 197-212. doi : 10.21136/CMJ.2022.0044-22. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0044-22/

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