Jiaqi Hou

activity

20242026

collaborators

Showing 2024Show all

2 papers · 1 filter

math.NT2024

Restrictions of Maass forms on $SL (2, C)$ to hyperbolic surfaces and geodesic tubes

Jiaqi Hou

Let $ψ$ be an $L^{2}$ -normalized Hecke-Maass form with a large spectral parameter $λ > 0$ on a compact arithmetic congruence hyperbolic 3-manifold $X=Γ\backslash\mathrm{SL}(2,\mathbb{C…

math.NT2024

A nonabelian circle method

Nuno Arala, Jayce R. Getz, Jiaqi Hou +3

We count integral quaternion zeros of $γ_{1}^{2} \pm \dots \pm γ_{n}^{2}$ , giving an asymptotic when $n \geq 9$ , and a likely near-optimal bound when $n = 8$ . To do so, we introduce a new, non…

Restrictions of Maass forms on SL(2,C) to hyperbolic surfaces and geodesic tubes

A nonabelian circle method

Restrictions of Maass forms on $SL (2, C)$ to hyperbolic surfaces and geodesic tubes