2 papers
math.NT2026
Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields
Yue Xu, Xiuwu Zhu
Fix a squarefree integer , and let range over the positive squarefree integers coprime to . Although and share a…
math.PR2025
Error term in the Cohen-Lenstra heuristic via random matrix approach
Yue Xu, Xiuwu Zhu
The Cohen-Lenstra heuristic predicts the distribution of ideal class groups over number fields. Random matrix models provide a natural framework for explaining this heuristic, and…