Distribution of Farey fractions with $k$-free denominators

Bittu Chahal, Tapas Chatterjee, Sneha Chaubey

We investigate the distributional properties of the sequence of Farey fractions with $k$-free denominators in residue classes, defined as \[\mathscr{F}_{Q,k}^{(m)}:=\left\{\frac{a}…