Jing Ma

most citedThe Average Size of Ramanujan Sums over Cubic Number Fields

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math.NT2022

Mobius disjointness conjecture on the product of a circle and the Heisenberg nilmanifold

Jing Ma, Ronghui Wu

Let $T$ be the unit circle and $Γ ∖ G$ the 3-dimensional Heisenberg nilmanifold. We prove that the Möbius function is linearly disjoint from a class of distal skew…

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…