On the Periodicity of Continued Fractions in Hyperelliptic Fields over Quadratic Constant Field
- 作者: Platonov V.P.1, Zhgoon V.S.1, Fedorov G.V.1
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隶属关系:
- Scientific Research Institute for System Analysis
- 期: 卷 98, 编号 2 (2018)
- 页面: 430-434
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225551
- DOI: https://doi.org/10.1134/S1064562418060091
- ID: 225551
如何引用文章
详细
We give a description of the cubic polynomials f(x) with coefficients in the quadratic number fields \(\mathbb{Q}(\sqrt{5})\) and \(\mathbb{Q}(\sqrt{-15})\) for which the continued fraction expansion of the irrationality \(\sqrt {f\left( x \right)} \) is periodic.
作者简介
V. Platonov
Scientific Research Institute for System Analysis
编辑信件的主要联系方式.
Email: platonov@niisi.ras.ru
俄罗斯联邦, Moscow, 117218
V. Zhgoon
Scientific Research Institute for System Analysis
Email: platonov@niisi.ras.ru
俄罗斯联邦, Moscow, 117218
G. Fedorov
Scientific Research Institute for System Analysis
Email: platonov@niisi.ras.ru
俄罗斯联邦, Moscow, 117218
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