A family of cyclic cubic polynomials whose roots are systems of fundamental units.
From MaRDI portal
Publication:1403936
DOI10.1016/S0022-314X(03)00085-4zbMath1034.11060OpenAlexW2064978295MaRDI QIDQ1403936
Publication date: 20 August 2003
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-314x(03)00085-4
Units and factorization (11R27) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)
Related Items (12)
Corrigendum to ``Complete solutions of a family of cubic Thue equations ⋮ Families of cyclic cubic fields ⋮ On the solutions of a parametric family of cubic Thue equations ⋮ Fundamental units in a parametric family of not totally real quintic number fields ⋮ Diophantine problems related to cyclic cubic and quartic fields ⋮ Trace and norm of indecomposable integers in cubic orders ⋮ Complete solutions of a family of cubic Thue equations ⋮ Undecidability, unit groups, and some totally imaginary infinite extensions of ℚ ⋮ A family of cyclic quartic fields with explicit fundamental units ⋮ Generalized Kummer theory and its applications ⋮ Erratum to: ``On the solutions of a parametric family of cubic Thue equations ⋮ On cubic Thue equations and the indices of algebraic integers in cubic fields
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Automorphism polynomials in cyclic cubic extensions
- A family of cubic fields and zeros of 3-adic \(L\)-functions
- A note on class numbers of the simplest cubic fields
- Effective Determination of the Decomposition of the Rational Primes in a Cubic Field
- A Lower Bound for the Class Number of Certain Cubic Number Fields
- Class Numbers of the Simplest Cubic Fields
- The Simplest Cubic Fields
- Class number 3 problem for the simplest cubic fields
This page was built for publication: A family of cyclic cubic polynomials whose roots are systems of fundamental units.
