Xiaoguang He

most citedMöbius Disjointness for Nilsequences Along Short Intervals

5 citations · 7 across the 3 of their papers we have counts for

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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.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…

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

Möbius disjointness for skew products on a circle and a nilmanifold

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