On a question of Luca and Schinzel over Segal-Piatetski-Shapiro sequences

Jean-Marc Deshouillers, Mehdi Hassani, Mohammad Nasiri-Zare

We extend to Segal-Piatetski-Shapiro sequences previous results on the Luca-Schinzel question over integral valued polynomial sequences. Namely, we prove that for any real $c$ larg…