Jiangwei Xue

collaborators

2 papers

math.NT2026

The spinor type number formula for totally definite quaternion orders

Yucui Lin, Jiangwei Xue

Let $D$ be a totally definite quaternion algebra over a totally real number field $F$ , and $O$ be an $O_{F}$ -order (of full rank) in $D$ . The type number $t (O)$ i…

math.NT2022

On the divisibility of the class numbers of quaternion orders

Lin Yucui, Xue Jiangwei

Let $F$ be a number field, and $D$ be a quaternion $F$ -algebra. We show that the class number of any residually unramified $O_{F}$ -order (e.g. an Eichler order) in $D$ is divisible b…