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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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6 papers

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 -module where is a…

math.RT2024

On certain identities between Fourier transforms of weighted orbital integrals on infinitesimal symmetric spaces of Guo-Jacquet

Huajie Li

In an infinitesimal variant of Guo-Jacquet trace formulae, the regular semi-simple terms are expressed as noninvariant weighted orbital integrals on two global infinitesimal symmet…

math.NT2024

A nonabelian circle method

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

We count integral quaternion zeros of , giving an asymptotic when , and a likely near-optimal bound when . To do so, we introduce a new, non…

math.RT2021

A local trace formula for -adic infinitesimal symmetric spaces: the case of Guo-Jacquet

Huajie Li

We establish an invariant local trace formula for the tangent space of some symmetric spaces over a non-archimedean local field of characteristic zero. These symmetric spaces are s…

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 containing a quadratic field extension . It…

math.NT2019★ 2 cited

An infinitesimal variant of Guo-Jacquet trace formula I: the case of

Huajie Li

We establish an infinitesimal variant of Guo-Jacquet trace formula for the case of . It is a kind of Poisson summation formula obtained by an…