1 citations · 1 across the 6 of their papers we have counts for
7 papers
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}…
Chebyshev's bias for irrational factor function
Bittu Chahal
In this article, we study the distribution of the irrational factor function of order , introduced first by Atanassov for and later it was generalized by Dong et al. for a…
On the Second Hardy-Littlewood Conjecture
Bittu Chahal, Ertan Elma, Nic Fellini +2
The second Hardy-Littlewood conjecture asserts that the prime counting function satisfies the subadditive inequality \begin{align*} π(x+y)\leqslant π(x)+π(y) \end{align*} fo…
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…
Distribution of values of general Euler totient function
Debika Banerjee, Bittu Chahal, Sneha Chaubey +1
Let be a general totient function introduced first by Cald…
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…
On the distribution of index of Farey Sequences
Bittu, Sneha Chaubey, Shivani Goel
In this article, we study the distribution of index of Farey fractions which was first introduced and studied by Hall and Shiu. We provide asymptotic formulas for moments of index…