Pure cubic fields whose class numbers are multiples of three
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Publication:2547580
DOI10.1016/0022-314X(71)90045-XzbMath0222.12004MaRDI QIDQ2547580
Publication date: 1971
Published in: Journal of Number Theory (Search for Journal in Brave)
Related Items (29)
Integral bases and fundamental units of the cubic fields \(\mathbb{Q}(w)\) defined by \(w^ 3+aw-1=0\) ⋮ Calculation of the Regulator of a Pure Cubic Field ⋮ On cubic Galois extensions of $Q\left( {\sqrt { - 3} } \right)$ ⋮ Improving the Speed of Calculating the Regulator of Certain Pure Cubic Fields ⋮ Structure of relative genus fields of cubic Kummer extensions ⋮ Class numbers of pure quintic fields ⋮ Binomial squares in pure cubic number fields ⋮ Iwasawa invariants of some non-cyclotomic \(\mathbb{Z}_p\)-extensions ⋮ The 3‐class groups of non‐Galois cubic fields—I ⋮ The 3‐class groups of non‐Galois cubic fields–II ⋮ 3-rank of ambiguous class groups of cubic Kummer extensions ⋮ On a conjecture of Lemmermeyer ⋮ Class number relations between pure fields and their Galois closures ⋮ Fundamental units of certain algebraic number fields ⋮ The class number of pure fields of prime degree ⋮ Eine Bemerkung über kubische Einheiten ⋮ Rational compositum genus for a pure cubic field ⋮ Distribution of units of a cubic field with negative discriminant ⋮ PólyaS3-extensions of ℚ ⋮ Pure fields of degree 9 with class number prime to 3 ⋮ Differential principal factors and Pólya property of pure metacyclic fields ⋮ On 3-Class groups of certain pure cubic fields ⋮ Fields ℚ(d3,ζ3) whose 3-class group is of type (9,3) ⋮ Remarks on principal factors in a relative cubic field ⋮ On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field ⋮ The 3-class groups of \(\mathbb{Q}(\sqrt[3{p})\) and its normal closure] ⋮ A Computational Technique for Determining the Class Number of a Pure Cubic Field ⋮ \(\ell\)-class groups of fields in Kummer towers ⋮ On the ideal class group of the normal closure of \(\mathbb{Q}(\sqrt[p{n})\)]
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