Han Wu

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math.NT2026

Voronoi-Hankel Transforms

Zhefeng Shen, Han Wu

We prove that the $I ¨ $ -Fourier transform introduced by Jiang--Luo and the Voronoi--Hankel transform for $I ¨ $ introduced by the last author are essentially the same one. We give a s…

math.NT2025

On Weyl's Subconvex Bound for Cube-Free Hecke characters: Totally Real Case

Olga Balkanova, Dmitry Frolenkov, Han Wu

We prove a Weyl-type subconvex bound for cube-free level Hecke characters over totally real number fields. Our proof relies on an explicit inversion to Motohashi's formula. Schwart…

math.NT2025

On A Generalization of Motohashi's Formula

Han Wu

We study a spectral reciprocity formula relating $GL_{3} \times GL_{2}$ with $GL_{3} \times GL_{1}$ and $GL_{1}$ moments of $L$ -functions discove…