Solutions to certain linear equations in Piatetski-Shapiro sequences

Daniel Glasscock

Denote by $\text{PS}(\alpha )$ the image of the Piatetski-Shapiro sequence $n\mapsto \lfloor n^{\alpha }\rfloor$ where $\alpha >1$ is non-integral and $\lfloor x\rfloor$ is the integer part of $x…