On the period length of the generalized Lagrange algorithm

DOI10.1016/0022-314X(87)90093-XzbMath0615.12002MaRDI QIDQ1820815

Johannes A. Buchmann

Publication date: 1987

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

class numberorderfundamental system of unitscycles of reduced idealsLagrange's continued fraction algorithm

Mathematics Subject Classification ID

Units and factorization (11R27) Continued fractions and generalizations (11J70) Iwasawa theory (11R23) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Software, source code, etc. for problems pertaining to field theory (12-04)

Related Items (9)

Caliber of a global field ⋮ A Practical Version of the Generalized Lagrange Algorithm ⋮ New generalization of continued fraction. I ⋮ Constructing nonresidues in finite fields and the extended Riemann hypothesis ⋮ On the Computation of Unit Groups and Class Groups of Totally Real Quartic Fields ⋮ Voronoi's algorithm in purely cubic congruence function fields of unit rank 1 ⋮ Quadratic extensions of the rational field, the Gauss field or the field of cubic roots of unity of caliber 1 ⋮ On the computation of units and class numbers by a generalization of Lagrange's algorithm ⋮ On the Infrastructure of the Principal Ideal Class of an Algebraic Number Field of Unit Rank One

Cites Work

• On the computation of units and class numbers by a generalization of Lagrange's algorithm
• Abschätzung der Periodenlänge einer verallgemeinerten Kettenbruchentwicklung.
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