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arXiv:2105.11699 [math.NT]AbstractReferencesReviewsResources

The Average Size of Ramanujan Sums over Cubic Number Fields

Jing Ma, Huayan Sun, Wenguang Zhai

Published 2021-05-25Version 1

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.

Comments: 17 pages
Categories: math.NT
Subjects: 11N37, 11L03, 11R16
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