THE DISCRIMINANT OF ABELIAN NUMBER FIELDS
A formula for computing the discriminant of any Abelian number field K is given. It is presented as a function of the conductor m of K and of the degrees of the fields K boolean AND Q(zeta(p)alpha) over Q, where p runs through the set of primes that divide m, and p(alpha) is the greatest power of p...
| Authors: | , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2006 |
| Country: | Brasil |
| Institution: | Universidade Estadual Paulista (UNESP) |
| Repository: | Repositório Institucional da UNESP |
| Language: | English |
| OAI Identifier: | oai:repositorio.unesp.br:11449/195816 |
| Online Access: | http://dx.doi.org/10.1142/S0219498806001636 http://hdl.handle.net/11449/195816 |
| Access Level: | Open access |
| Keyword: | Characters conductors cyclotomic fields discriminants of Abelian number fields Hasse Theorem |
| Summary: | A formula for computing the discriminant of any Abelian number field K is given. It is presented as a function of the conductor m of K and of the degrees of the fields K boolean AND Q(zeta(p)alpha) over Q, where p runs through the set of primes that divide m, and p(alpha) is the greatest power of p that divides m. |
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