Xiaoguang He

most citedMöbius Disjointness for Nilsequences Along Short Intervals

5 citations · 8 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2021

Bounds for moments of modular $L$ -functions to a fixed modulus

Peng Gao, Xiaoguang He, Xiaosheng Wu

We study the $2 k$ -th moment of the family of twisted modular $L$ -functions to a fixed prime power modulus at the central values. We establish sharp lower bounds for all real $k \ge…

math.NT2021★ 1 cited

Discorrelation of multiplicative functions with nilsequences and its application on coefficients of automorphic $L$ -functions

Xiaoguang He, Mengdi Wang

We introduce a class of multiplicative functions in which each function satisfies some statistic conditions, and then prove that above functions are not correlated with finite degr…

math.NT2019★ 2 cited

Möbius disjointness for skew products on a circle and a nilmanifold

Wen Huang, Jianya Liu, Ke Wang

Let $T$ be the unit circle and $Γ\ G$ the $3$ -dimensional Heisenberg nilmanifold. We prove that a class of skew products on $T \times Γ\ G$ are…

math.DS2019★ 5 cited

Möbius Disjointness for Nilsequences Along Short Intervals

Xiaoguang He, Zhiren Wang

For a nilmanifold $G /Γ$ , a $1$ -Lipschitz continuous function $F$ and the Möbius sequence $μ (n)$ , we prove a bound on the decay of the averaged short interval correlation $$\frac1{H…

Bounds for moments of modular L-functions to a fixed modulus

Discorrelation of multiplicative functions with nilsequences and its application on coefficients of automorphic L-functions

Möbius disjointness for skew products on a circle and a nilmanifold

Möbius Disjointness for Nilsequences Along Short Intervals

Bounds for moments of modular $L$ -functions to a fixed modulus

Discorrelation of multiplicative functions with nilsequences and its application on coefficients of automorphic $L$ -functions