3 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 $γ_1^2 \pm \dots \pm γ_n^2$, giving an asymptotic when , and a likely near-optimal bound when . To do so, we introduce a new, n…