Bittu Chahal

collaborators

4 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 $Q$ , and polynomial $P (x) \in Z [X]$ with $P (0) = 0$ , we define polynomial Farey fractions…

math.NT2025

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}…

math.NT2025

Chebyshev's bias for irrational factor function

Bittu Chahal

In this article, we study the distribution of the irrational factor function of order $k$ , introduced first by Atanassov for $k = 2$ and later it was generalized by Dong et al. for a…

math.NT2025

On the Second Hardy-Littlewood Conjecture

Bittu Chahal, Ertan Elma, Nic Fellini +2

The second Hardy-Littlewood conjecture asserts that the prime counting function $I ¨ (x)$ satisfies the subadditive inequality \begin{align*} Ï(x+y)\leqslant Ï(x)+Ï(y) \end{align*…

On the distribution of polynomial Farey points and Chebyshev's bias phenomenon

Distribution of Farey fractions with k-free denominators

Chebyshev's bias for irrational factor function

On the Second Hardy-Littlewood Conjecture

Distribution of Farey fractions with $k$ -free denominators