Huajie Li

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20192026

most citedAn infinitesimal variant of Guo-Jacquet trace formula II

4 citations · 6 across the 6 of their papers we have counts for

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math.NT2026

Une formule des traces pour les espaces symétriques. Le cas de Guo-Jacquet

Pierre-Henri Chaudouard, Huajie Li

In the spirit of Arthur's trace formula, we establish a general trace formula for symmetric spaces associated with the variety of involutions of a finite $D$ -module where $D$ is a…

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…

math.NT2020★ 4 cited

An infinitesimal variant of Guo-Jacquet trace formula II

Huajie Li

We establish an infinitesimal variant of Guo-Jacquet trace formula for the case of a central simple algebra over a number field $F$ containing a quadratic field extension $E / F$ . It…

math.NT2019★ 2 cited

An infinitesimal variant of Guo-Jacquet trace formula I: the case of $(G L_{2 n, D}, G L_{n, D} \times G L_{n, D})$

Huajie Li

We establish an infinitesimal variant of Guo-Jacquet trace formula for the case of $(G L_{2 n, D}, G L_{n, D} \times G L_{n, D})$ . It is a kind of Poisson summation formula obtained by an…

Une formule des traces pour les espaces symétriques. Le cas de Guo-Jacquet

A nonabelian circle method

An infinitesimal variant of Guo-Jacquet trace formula II

An infinitesimal variant of Guo-Jacquet trace formula I: the case of (GL2n,D​,GLn,D​×GLn,D​)

An infinitesimal variant of Guo-Jacquet trace formula I: the case of $(G L_{2 n, D}, G L_{n, D} \times G L_{n, D})$