On the distribution of -integers in Piatetski-Shapiro sequences
Teerapat Srichan (2021)
Czechoslovak Mathematical Journal
Similarity:
A natural number is said to be a -integer if , where and is not divisible by the th power of any prime. We study the distribution of such -integers in the Piatetski-Shapiro sequence with . As a corollary, we also obtain similar results for semi--free integers.