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

中图分类号：

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).

引用

页码：248 / 254

页数：6