On the periodicity of continued fractions in hyperelliptic fields

被引：9

作者：

Platonov, V. P. ^{[1
]}

Fedorov, G. V. ^{[1
]}

机构：

[1] Russian Acad Sci, Sci Res Inst Syst Anal, Moscow 117218, Russia

来源：

DOKLADY MATHEMATICS | 2017年 / 95卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

S-UNITS;

D O I：

10.1134/S106456241703019X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On the basis of a given criterion for the quasi-periodicity of continued fractions for elements of the hyperelliptic field L = K(x)(root f), where k is an arbitrary field of characteristic different from 2 and f is an element of K[x] is a square-free polynomial, new polynomials f is an element of Q[x] of odd degree for which the elements root f of have periodic continued fraction expansion are found.

引用

页码：254 / 258

页数：5

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