Weitong Wang

collaborators

3 papers

math.NT2026

Infinite Moments of Class Groups for Solvable Fields with a Normal Abelian Subgroup

Weitong Wang

We apply the class field theory and Minkowski bound to obtain an upper bound estimate for the number of solutions to the restricted ramifications when the Galois group is solvable.…

math.NT2025

Invariant part of class group and distribution of relative class group

Weitong Wang

We generalize the work of Roquette and Zassenhaus on the invariant part of the class groups to the relative class groups. Thereby, we can show some statistical results as follows.…

math.NT2025

Distribution of the bad part of class groups

Weitong Wang

The Cohen-Lenstra-Martinet Heuristics gives a prediction of the distribution of $Cl_{K} [p^{\infty}]$ whne $K$ runs over $I^$ -fields and $p ∤ ∣ I^∣$ . In this paper, we p…