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arXiv · 2105.11699

The Average Size of Ramanujan Sums over Cubic Number Fields

Jing Ma·Huayan Sun·Wenguang Zhai
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Abstract

Let K be a cubic number field. In this paper, we study the Ramanujan sums c_{J}(I), where I and J are integral ideals in O_{K}. The asymptotic behaviour of sums of c_{J}(I) over both I and J is investigated.

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Jing Ma, Huayan Sun, Wenguang Zhai. 2021-05-25. The Average Size of Ramanujan Sums over Cubic Number Fields. https://arxiv.org/abs/2105.11699

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