1 citations · 1 across the 11 of their papers we have counts for
15 papers
Local-global principles for visibility of lattice points on parameterized curves
Sneha Chaubey, Anwesh Ray
We develop a local-global theory for visibility of lattice points on families of parameterized curves. We introduce a notion of -adic visibility and ask whether a lattice point…
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}…
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…
Moments of Averages of Ramanujan Sums over Number Fields
Sneha Chaubey, Shivani Goel
Assuming the generalized Lindelöf hypothesis, we provide asymptotic formulas for the mean values of the first and second moments of Ramanujan sums over any number field. Additional…
Pair correlation of real-valued vector sequences
Sneha Chaubey, Shivani Goel
In this article, we investigate the fine-scale statistics of real-valued arithmetic sequences. In particular, we focus on real-valued vector sequences and show the Poissonian behav…
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…
Zeros of derivatives of -functions in the Selberg class on
Sneha Chaubey, Suraj Singh Khurana, Ade Irma Suriajaya
In this article, we show that the Riemann hypothesis for an -function belonging to the Selberg class implies that all the derivatives of can have at most finitely many z…
On the distribution of Ramanujan Sums over number fields
Sneha Chaubey, Shivani Goel
For a number field , and integral ideals and in its number ring , Nowak studied the asymptotic behaviour of the av…
On the density of visible lattice points along polynomials
Sneha Chaubey, Ashish Kumar Pandey
Recently, the notion of visibility from the origin has been generalized by viewing lattice points through curved lines of sights, where the family of curves considered are …
The distribution of spacings of real-valued lacunary sequences modulo one
Sneha Chaubey, Nadav Yesha
Let be a lacunary sequence of positive real numbers. Rudnick and Technau showed that for almost all , the pair correlation of $\…
Mean value estimates of gcd and lcm-sums
Sneha Chaubey, Shivani Goel
We study the distribution of the generalized gcd and lcm functions on average. The generalized gcd function, denoted by , is the largest -th power divisor common to …
The Dynamics of Super-Apollonian Continued Fractions
Sneha Chaubey, Elena Fuchs, Robert Hines +1
We examine a pair of dynamical systems on the plane induced by a pair of spanning trees in the Cayley graph of the Super-Apollonian group of Graham, Lagarias, Mallows, Wilks and Ya…
Geometry of Farey-Ford polygons
Jayadev Athreya, Sneha Chaubey, Amita Malik +1
The Farey sequence is a natural exhaustion of the set of rational numbers between 0 and 1 by finite lists. Ford Circles are a natural family of mutually tangent circles associated…