On the Infrastructure of the Principal Ideal Class of an Algebraic Number Field of Unit Rank One
From MaRDI portal
Publication:3798756
DOI10.2307/2008625zbMath0653.12005OpenAlexW4244144610MaRDI QIDQ3798756
Johannes A. Buchmann, Hugh C. Williams
Publication date: 1988
Full work available at URL: https://doi.org/10.2307/2008625
Quaternion and other division algebras: arithmetic, zeta functions (11R52) Software, source code, etc. for problems pertaining to field theory (12-04)
Related Items (7)
A generalization of reduced Arakelov divisors of a number field ⋮ On reduced Arakelov divisors of real quadratic fields ⋮ A Terr algorithm for computations in the infrastructure of real-quadratic number fields ⋮ Reduced ideals from the reduction algorithm ⋮ The reduced ideals of a special order in a pure cubic number field ⋮ Voronoi's algorithm in purely cubic congruence function fields of unit rank 1 ⋮ The infrastructure of a global field of arbitrary unit rank
Cites Work
- Unnamed Item
- Unnamed Item
- Continued fractions and number-theoretic computations
- On principal ideal testing in algebraic number fields
- On the computation of units and class numbers by a generalization of Lagrange's algorithm
- On the period length of the generalized Lagrange algorithm
- The spacing of the minima in certain cubic lattices
- On Principal Ideal Testing in Totally Complex Quartic Fields and the Determination of Certain Cyclotomic Constants
- The Computation of the Fundamental Unit of Totally Complex Quartic Orders
- A Rapid Method of Evaluating the Regulator and Class Number of a Pure Cubic Field
- Some Periodic Continued Fractions With Long Periods
- Abschätzung der Periodenlänge einer verallgemeinerten Kettenbruchentwicklung.
- Calculation of the Regulator of a Pure Cubic Field
- Polynomial Algorithms for Computing the Smith and Hermite Normal Forms of an Integer Matrix
- The Distribution of Ideal Class Numbers of Real Quadratic Fields
- A Computational Technique for Evaluating L(1, χ) and the Class Number of a Real Quadratic Field
- A Table of Complex Cubic Fields
- On the Zeta-Functions of Algebraic Number Fields
This page was built for publication: On the Infrastructure of the Principal Ideal Class of an Algebraic Number Field of Unit Rank One
