On the periodicity of continued fractions in hyperelliptic fields
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Publication:2404292
DOI10.1134/S106456241703019XzbMath1418.11109MaRDI QIDQ2404292
G. V. Fedorov, Vladimir Platonov
Publication date: 18 September 2017
Published in: Doklady Mathematics (Search for Journal in Brave)
Units and factorization (11R27) Continued fractions and generalizations (11J70) Continued fractions (11A55)
Related Items (14)
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 ⋮ 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 ⋮ On the period length of a functional continued fraction over a number field ⋮ Groups of \(S\)-units and the problem of periodicity of continued fractions in hyperelliptic fields ⋮ On the problem of describing elements of elliptic fields with a periodic expansion into a continued fraction over quadratic 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
- Continued rational fractions in hyperelliptic fields and the Mumford representation
- $ S$-Units and periodicity in quadratic function fields
- On continued fractions and diophantine approximation in power series fields
- Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field
- Groups ofS-units in hyperelliptic fields and continued fractions
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