Journal of Integer Sequences, Vol. 25 (2022), Article 22.2.5

On The Distribution of Consecutive Generalized r-Free Integers in Piatetski-Shapiro Sequences

Angkana Sripayap and Teerapat Srichan
Department of Mathematics
Faculty of Science
Kasetsart University
Bangkok 10900

Pinthira Tangsupphathawat
Department of Mathematics
Faculty of Science and Technology
Phranakhon Rajabhat University
Bangkok 10220


We use Rieger's technique to generalize a previous result on the distribution of consecutive r-free integers in Piatetski-Shapiro sequences.

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Received October 27 2021; revised version received January 12 2022; February 2 2022. Published in Journal of Integer Sequences, February 2 2022.

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