The exponent three class group problem for some real cyclic cubic number fields

DOI10.1090/S0002-9939-01-06168-8zbMath0999.11068OpenAlexW1708514291MaRDI QIDQ2758969

Stéphane R. Louboutin

Publication date: 10 December 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06168-8

zbMATH Keywords

class numberDedekind zeta functionsimplest cubic fieldclass group

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (5)

On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes ⋮ Cubic Polynomials, Linear Shifts, and Ramanujan Simple Cubics ⋮ Small height in fields generated by singular moduli ⋮ On the fundamental units of a totally real cubic order generated by a unit ⋮ Efficient computation of root numbers and class numbers of parametrized families of real abelian number fields

Cites Work

• Unnamed Item
• Simplest cubic fields
• Computation of class numbers of number fields
• Explicit Bounds for Primality Testing and Related Problems
• A Lower Bound for the Class Number of Certain Cubic Number Fields
• Class Numbers of the Simplest Cubic Fields
• On the Computation of the Class Number of an Algebraic Number Field
• The Simplest Cubic Fields
• Computation of Relative Class Numbers of Imaginary Abelian Number Fields
• Lower Bounds for Relative Class Numbers of CM-Fields
• Explicit bounds for primes in residue classes
• Class-number problems for cubic number fields
• Class number 3 problem for the simplest cubic fields
• Class number and class group problems for some non-normal totally real cubic number fields

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