The structure of abelian number fields with Dirichlet characters
Ruikai Chen, Sihem Mesnager · Journal of Algebra and Its Applications · 2023
This paper concerns a classical subject regarding the structural properties of abelian number fields. The primitive elements, integral bases, conductors and discriminants are important for studying abelian number fields, and this paper emphasizes that they are closely related to the associated Dirichlet characters. Then by evaluating the Gauss sums, we can give explicit forms of abelian fields of small degree.