О НЕКОТОРЫХ СВОЙСТВАХ НЕПРЕРЫВНЫХ ПЕРИОДИЧЕСКИХ ДРОБЕЙ С НЕБОЛЬШОЙ ДЛИНОЙ ПЕРИОДА, СВЯЗАННЫХ С ГИПЕРЭЛЛИПТИЧЕСКИМИ ПОЛЯМИ И S-ЕДИНИЦАМИ

DOI10.22405/2226-8383-2017-18-4-260-267zbMath1434.11131OpenAlexW2810020352MaRDI QIDQ5108828

Yu. V. Kuznetsov, Yuriĭ N. Shteĭnikov

Publication date: 6 May 2020

Published in: Чебышевский сборник (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb610

zbMATH Keywords

continued fractionsvaluation\(S\)-unitshyperelliptic fields

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Elliptic and modular units (11G16)

Related Items (1)

Периодические непрерывные дроби и $S$-единицы с нормированиями второй степени в гиперэллиптических полях

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
• \(S\)-units in hyperelliptic fields and periodicity of continued fractions
• Continued rational fractions in hyperelliptic fields and the Mumford representation
• Groups of \(S\)-units in hyperelliptic fields
• On the periodicity of continued fractions in hyperelliptic fields
• On the periodicity of continued fractions in elliptic fields
• $ S$-Units and periodicity in quadratic function fields
• Continued fractions and $ S$-units 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
• $ S$-units in hyperelliptic fields
• Unnamed Item

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