Мақаланы E-mail арқылы жіберу Computation of the Fundamental Units of Number Rings Using a Generalized Continued Fraction
- Авторлар: Bruno A.1
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Мекемелер:
- Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
- Шығарылым: Том 45, № 2 (2019)
- Беттер: 37-50
- Бөлім: Article
- URL: https://journals.rcsi.science/0361-7688/article/view/176754
- DOI: https://doi.org/10.1134/S036176881902004X
- ID: 176754
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Тек жазылушылар үшін
Аннотация
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.
Авторлар туралы
A. Bruno
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Хат алмасуға жауапты Автор.
Email: abruno@keldysh.ru
Ресей, Moscow, 125047
