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math.NT2021
Nonsplitting of the Hilbert exact sequence and the principal Chebotarev density theorem
Lian Duan, Kelly Emmrich, Ning Ma +1
Let be a finite Galois extension of number fields, and let be the Hilbert class field of . We find a way to verify the nonsplitting of the short exact sequence $$1\t…
math.NT2021★ 2 cited
Generalizations of Alladi's formula for arithmetical semigroups
Lian Duan, Ning Ma, Shaoyun Yi
In this article, we prove that a general version of Alladi's formula with Dirichlet convolution holds for arithmetical semigroups satisfying Axiom or Axiom . As applica…