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math.NT2024
On the moments of averages of Ramanujan sums
Shivani Goel, M. Ram Murty
Chan and Kumchev studied averages of the first and second moments of Ramanujan sums. In this article, we extend this investigation by estimating the higher moments of averages of R…
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…