\(S\)-units in hyperelliptic fields and periodicity of continued fractions

DOI10.1134/S1064562416050148zbMath1392.11035OpenAlexW2552252942MaRDI QIDQ512502

M. M. Petrunin, Vladimir Platonov

Publication date: 27 February 2017

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562416050148

Mathematics Subject Classification ID

Units and factorization (11R27) Continued fractions (11A55) Elliptic and modular units (11G16)

Related Items (15)

On the problem of periodicity of continued fraction expansions of for cubic polynomials over algebraic number fields ⋮ \(S\)-units and periodicity of square root in hyperelliptic fields ⋮ On the periodicity of continued fractions in hyperelliptic fields ⋮ On the problem of periodicity of continued fractions in hyperelliptic fields ⋮ On the periodicity of continued fractions in elliptic 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 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

• Fundamental \(S\)-units in hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves
• \(S\)-units and periodicity of continued fractions in hyperelliptic fields
• Multiples of Points on Elliptic Curves and Continued Fractions
• 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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