Jing Ma

activity

20122022

most citedThe Average Size of Ramanujan Sums over Cubic Number Fields

1 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

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 $\sum_{n ⩽ x} f ([x / n]) / [x / n],$ where $f$ is Euler totient function $φ$ , Dedekind function $Ψ$ , sum-of-divisors function $σ$ 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…