Periodic Jacobi-Perron algorithms in cubic fields and fundamental units

DOI10.1134/S2070046619030063zbMath1431.11121OpenAlexW2965713297WikidataQ127404720 ScholiaQ127404720MaRDI QIDQ2293736

Mostapha Bouhamza, Mouhcine Taljaoui

Publication date: 5 February 2020

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046619030063

zbMATH Keywords

Jacobi-Perron algorithmfundamental unitcubic field

Mathematics Subject Classification ID

Units and factorization (11R27) Continued fractions (11A55) Cubic and quartic extensions (11R16)

Uses Software

• PARI/GP

Cites Work

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• Families of periodic Jacobi-Perron algorithms for all period lengths
• Two families of periodic Jacobi algorithms with period lengths going to infinity
• The Jacobi-Perron algorithm its theory and application
• Algorithme de Jacobi-Perron dans les corps de nombres de degré 4
• Voronoi-Algorithm Expansion of Two Families with Period Length Going to Infinity
• Minorations d’unités fondamentales—applications

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