Xiuwu Zhu

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20232026

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math.NT2026

Asymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fields

Yue Xu, Xiuwu Zhu

Fix a squarefree integer $d_{0} > 1$ , and let $d$ range over the positive squarefree integers coprime to $2 d_{0}$ . Although $Q (- d)$ and $Q (- d_{0} d)$ share a…

math.NT2025

New optimal function field towers over finite fields of quartic power

Chuangqiang Hu, Xiuwu Zhu

We introduce two new types of towers of Drinfeld modular curves. These towers originate from a specific domain $A$ and are analogous to the towers of rank-two Drinfeld m…