We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
ON THE INDICES IN NUMBER FIELDS AND THEIR COMPUTATION FOR SMALL DEGREES.
- Authors
Bayad, Abdelmejid; Seddik, Mohammed
- Abstract
Let K be a number field. We investigate the indices I(K) and i(K) of K introduced respectively by Dedekind and Gunji-McQuillan. Let n be a positif integer, we then prove that for any prime p < n, there exists K a number field of degree n over Q such that p divide i(K). This result is an analogue to Bauer's one for i(K). We compute I(K) and i(K) for cubic fields and infinite families of simplest number fields of degree less than 7. We solve questions and disprove the conjecture stated in [1 ].
- Subjects
INDEX numbers (Economics); DEDEKIND sums; FINITE fields; INTEGERS
- Publication
Applicable Analysis & Discrete Mathematics, 2021, Vol 15, Issue 1, p27
- ISSN
1452-8630
- Publication type
Article
- DOI
10.2298/AADM191025032B