Periodic Jacobi-Perron Algorithms in Cubic Fields and Fundamental Units

被引：0
|
作者：
Mouhcine Taljaoui
Mostapha Bouhamza
机构：
[1] Hassan2 University,Laboratory TAAMD, FSAC
来源：
p-Adic Numbers, Ultrametric Analysis and Applications | 2019年 / 11卷
关键词：
cubic field; Jacobi-Perron algorithm; fundamental unit;
D O I：
暂无
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学科分类号：
摘要：
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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页码：248 / 254
页数：6
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