Enviar artigo por via de e-mail Computation of the Fundamental Units of Number Rings Using a Generalized Continued Fraction
- Autores: Bruno A.D.1
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Afiliações:
- Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
- Edição: Volume 45, Nº 2 (2019)
- Páginas: 37-50
- Seção: Article
- URL: https://journals.rcsi.science/0361-7688/article/view/176754
- DOI: https://doi.org/10.1134/S036176881902004X
- ID: 176754
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Resumo
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.
Sobre autores
A. Bruno
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Autor responsável pela correspondência
Email: abruno@keldysh.ru
Rússia, Moscow, 125047
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