Moments of Averages of Ramanujan Sums over Number Fields
arXiv:2401.05052
Abstract
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. Additionally, unconditionally, we estimate the second moment of Ramanujan sums over cyclotomic number fields.
15 pages. arXiv admin note: text overlap with arXiv:2109.09398