Computation of Euclidean minima in totally definite quaternion fields

DOI10.1142/S1793042118501725zbMath1459.11236OpenAlexW2611998102MaRDI QIDQ4623462

Jean-Paul Cerri, Pierre Lezowski

Publication date: 15 February 2019

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

Full work available at URL: https://doi.org/10.1142/s1793042118501725

zbMATH Keywords

quaternion algebrasalgorithmic number theorynorm-Euclidean ordersnorm-Euclidean minimum

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Algebraic numbers; rings of algebraic integers (11R04) Euclidean rings and generalizations (13F07)

Related Items (1)

Computation of Euclidean minima in totally definite quaternion fields

Uses Software

• Magma
• PARI/GP

Cites Work

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• Arithmétique des algèbres de quaternions
• The inhomogeneous minima of binary quadratic forms. II
• Complexity and algorithms for computing Voronoi cells of lattices
• Euclidean minima of totally real number fields: Algorithmic determination
• EUCLIDEAN MINIMA AND CENTRAL DIVISION ALGEBRAS
• Computation of Euclidean minima in totally definite quaternion fields
• EUCLIDEAN TOTALLY DEFINITE QUATERNION FIELDS OVER THE RATIONAL FIELD AND OVER QUADRATIC NUMBER FIELDS
• Computation of the Euclidean minimum of algebraic number fields

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