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math.NT2021
On a sum involving certain arithmetic functions and the integral part function
Jing Ma, Huayan Sun
In this short, we study sums of the shape where is Euler totient function , Dedekind function , sum-of-divisors function or t…
math.NT2021★ 1 cited
The Average Size of Ramanujan Sums over Cubic Number Fields
Jing Ma, Huayan Sun, Wenguang Zhai
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 bo…