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Continued fractions in hyperelliptic fields with an arbitrarily large period lengthстатья
- Авторы: Platonov Vladimir Petrovich, Fedorov Gleb Vladimirovich
- Журнал: Doklady Mathematics
- Год издания: 2024
- Издательство: Maik Nauka/Interperiodica Publishing
- Местоположение издательства: Russian Federation
- Аннотация: The article proves the following statement:in any hyperelliptic field $L$ defined over the field of algebraic numbers $K$ which having non-trivial units of the ring of integer elements of the field $L$, there is an element for which the period length of the continued fraction is greater any pre-given number.
- Добавил в систему: Федоров Глеб Владимирович