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The structure of abelian number fields with Dirichlet characters.
- Source :
-
Journal of Algebra & Its Applications . Sep2024, Vol. 23 Issue 10, p1-24. 24p. - Publication Year :
- 2024
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NUMBER theory
*INTEGRALS
Subjects
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 23
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 178839588
- Full Text :
- https://doi.org/10.1142/S0219498824501500