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.NT2024
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.NT2019
Moments and interpretations of the Cohen-Lenstra-Martinet heuristics
Weitong Wang, Melanie Matchett Wood
The goal of this paper is to prove theorems that elucidate the Cohen-Lenstra-Martinet conjectures for the distributions of class groups of number fields, and further the understand…