2 papers
math.NT2025
Counting lattice points in central simple algebras with a given characteristic polynomial
Jiaqi Xie
We extend the asymptotic formula for counting integral matrices with a given irreducible characteristic polynomial by Eskin, Mozes and Shah in 1996 to the case of counting elements…
math.NT2025
Integral embeddings of central simple algebras over number fields
Jiaqi Xie, Fei Xu
A criterion for determining exactly when an order of a maximal subfield of a central simple algebra over a number field can be embedded into an order of this algebra is given. Vari…