Email this article Periodic Jacobi-Perron Algorithms in Cubic Fields and Fundamental Units
- Authors: Taljaoui M.1, Bouhamza M.1
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Affiliations:
- Laboratory TAAMD, FSAC
- Issue: Vol 11, No 3 (2019)
- Pages: 248-254
- Section: Research Articles
- URL: https://journals.rcsi.science/2070-0466/article/view/201260
- DOI: https://doi.org/10.1134/S2070046619030063
- ID: 201260
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Abstract
In this paper, we study the Jacobi-Perron algorithm of (α, α2) and (1/α, 1/α2) where α is the unique real root of monic cubic irreducible polynomials in certain infinite families. We also investigate the associated Hasse-Bernstein units, along with when they are fundamental units in ℤ[α] and ℚ(α).
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About the authors
Mouhcine Taljaoui
Laboratory TAAMD, FSAC
Author for correspondence.
Email: taljaoui@gmail.com
Morocco, Casablanca
Mostapha Bouhamza
Laboratory TAAMD, FSAC
Author for correspondence.
Email: mosbouhamza@yahoo.com
Morocco, Casablanca
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