The average size of Ramanujan sums over cubic number fields

arxiv（2023）

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摘要

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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关键词

Ramanujan sum,Cubic field,Exponential sum

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