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arXiv · 2401.07321

On the moments of averages of Ramanujan sums

Shivani Goel·M. Ram Murty
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Abstract

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 Ramanujan sums using the Br\`eteche Tauberian theorem. We also give a result for the moments of averages of Cohen-Ramanujan sums.

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Shivani Goel, M. Ram Murty. 2024-01-14. On the moments of averages of Ramanujan sums. https://arxiv.org/abs/2401.07321

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