On the periodicity of continued fractions in elliptic fields
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Publication:2411791
DOI10.1134/S1064562417040068zbMath1392.11048OpenAlexW2752795984MaRDI QIDQ2411791
G. V. Fedorov, Vladimir Platonov
Publication date: 25 October 2017
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562417040068
Related Items (13)
On the problem of periodicity of continued fractions in hyperelliptic fields ⋮ О НЕКОТОРЫХ СВОЙСТВАХ НЕПРЕРЫВНЫХ ПЕРИОДИЧЕСКИХ ДРОБЕЙ С НЕБОЛЬШОЙ ДЛИНОЙ ПЕРИОДА, СВЯЗАННЫХ С ГИПЕРЭЛЛИПТИЧЕСКИМИ ПОЛЯМИ И S-ЕДИНИЦАМИ ⋮ Periodicity criterion for continued fractions of key elements in hyperelliptic fields ⋮ Периодические непрерывные дроби и $S$-единицы с нормированиями второй степени в гиперэллиптических полях ⋮ Continued fractions and the classification problem for elliptic fields over quadratic fields of constants ⋮ On -units for valuations of the second degree in hyperelliptic fields ⋮ On the problem of classification of periodic continued fractions in hyperelliptic fields ⋮ On the finiteness of hyperelliptic fields with special properties and periodic expansion of \(\sqrt{f}\) ⋮ Vladimir Petrovich Platonov ⋮ Groups of \(S\)-units and the problem of periodicity of continued fractions in hyperelliptic fields ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On \(S\)-units for linear valuations and the periodicity of continued fractions of generalized type in hyperelliptic fields
Cites Work
- \(S\)-units and periodicity of continued fractions in hyperelliptic fields
- \(S\)-units in hyperelliptic fields and periodicity of continued fractions
- $ S$-Units and periodicity in quadratic function fields
- Universal Bounds on the Torsion of Elliptic Curves
- Groups ofS-units in hyperelliptic fields and continued fractions
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