Bittu Chahal

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20222025

most citedOn the distribution of index of Farey Sequences

1 citations · 1 across the 6 of their papers we have counts for

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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 $π (x)$ satisfies the subadditive inequality \begin{align*} π(x+y)\leqslant π(x)+π(y) \end{align*} fo…

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