Computation of the Fundamental Units of Number Rings Using a Generalized Continued Fraction

被引：1
|
作者：
Bruno, A. D. [1 ]
机构：
[1] Russian Acad Sci, Keldysh Inst Appl Math, Moscow 125047, Russia
来源：
PROGRAMMING AND COMPUTER SOFTWARE | 2019年 / 45卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
21;
D O I：
10.1134/S036176881902004X
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A global generalization of continued fraction is proposed. It is based on computer algebra and can be used to find the best Diophantine approximations. This generalization provides a basis for computing the fundamental units of algebraic rings and for finding all solutions of a class of Diophantine equations. Examples in dimensions two, three, and four are given.
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页码：37 / 50
页数：14
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