Jiaqi Hou

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20242026

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math.NT2025

Kakeya-Nikodym norms of Maass forms on $U (2, 1)$

Jiaqi Hou

Let $ψ$ be a Hecke-Maass form with a large spectral parameter on a compact arithmetic complex hyperbolic surface. We apply the amplification method to obtain a power saving over th…

math.NT2025

Weighted geodesic restrictions of arithmetic eigenfunctions

Jiaqi Hou, Xiaoqi Huang

Let $X$ be an arithmetic hyperbolic surface, $ψ$ a Hecke-Maass form, $ℓ$ a geodesic segment on $X$ , and $μ$ a Borel measure supported on $ℓ$ with dimension greater than 1/2.…

Kakeya-Nikodym norms of Maass forms on U(2,1)

Weighted geodesic restrictions of arithmetic eigenfunctions

Kakeya-Nikodym norms of Maass forms on $U (2, 1)$