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arXiv · 2401.05052

Moments of Averages of Ramanujan Sums over Number Fields

Sneha Chaubey·Shivani Goel
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Abstract

Assuming the generalized Lindel\"of 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.

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Sneha Chaubey, Shivani Goel. 2024-01-10. Moments of Averages of Ramanujan Sums over Number Fields. https://arxiv.org/abs/2401.05052

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