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20202026
most citedOn the distribution of index of Farey Sequences

1 citations · 1 across the 4 of their papers we have counts for

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math.NT2026

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…

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

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.NT2024

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…

math.NT2023

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…

math.NT2023

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…