Open AccessFundamental units in a family of cubic fields
Author(s) -
Veikko Ennola
Publication year - 2004
Publication title -
journal de théorie des nombres de bordeaux
Language(s) - French
Resource type - Journals
SCImago Journal Rank - 0.663
H-Index - 26
eISSN - 2118-8572
pISSN - 1246-7405
DOI - 10.5802/jtnb.461
Subject(s) - mathematics , zero (linguistics) , order (exchange) , field (mathematics) , combinatorics , cubic form , algebraic number field , pure mathematics , philosophy , linguistics , finance , economics
Soit 0 l'ordre maximal du corps cubique engendre par une racine ∈ de l'equation x 3 + (f - 1)x 2 - lx - 1 = 0, ou l E Z, l ≥ 3. Nous prouvons que e, e-1 forment un systeme fondamental d'unites dans O, si [O: Z[e]] < l/3.
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