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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…