On the greatest common divisor of $n,\lfloor {\alpha }_{1}n\rfloor ,\lfloor {\alpha }_2{n}^2\rfloor ,...,\lfloor {\alpha }_k{n}^k\rfloor$

Jérémy Champagne

We answer a question of Bergelson and Richter about the probability of the relation $\gcd (n,\lfloor {\alpha }_{1}n\rfloor ,\lfloor {\alpha }_2{n}^2\rfloor ,...,\lfloor {\alpha }_k{n}^k\rfloor )=1$ for $n\in\mathbb{N}…