3 papers
math.NT2025
On the distribution of polynomial Farey points and Chebyshev's bias phenomenon
Bittu Chahal, Sneha Chaubey
We study two types of problems for polynomial Farey fractions. For a positive integer , and polynomial with , we define polynomial Farey fractions…
math.NT2025
Distribution of Farey fractions with -free denominators
Bittu Chahal, Tapas Chatterjee, Sneha Chaubey
We investigate the distributional properties of the sequence of Farey fractions with -free denominators in residue classes, defined as \[\mathscr{F}_{Q,k}^{(m)}:=\left\{\frac{a}…
math.NT2024
Pair correlation of Farey fractions with square-free denominators
Bittu Chahal, Sneha Chaubey
In this article, we study the pair correlation of Farey fractions by proving that the limiting pair correlation function of the sequence of Farey fractions with square-free denomin…