Periodicity criterion for continued fractions of key elements in hyperelliptic fields

DOI10.1134/S1064562422700223zbMath1517.11142OpenAlexW4361756946MaRDI QIDQ6132480

G. V. Fedorov, Vladimir Platonov

Publication date: 17 August 2023

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

Full work available at URL: https://doi.org/10.1134/s1064562422700223

zbMATH Keywords

continued fractionsdivisorsfundamental unitsdivisor class group\(S\)-unitshyperelliptic fieldstorsion in Jacobians

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Continued fractions and generalizations (11J70) Elliptic and modular units (11G16)

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
• On periodicity of continued fractions in hyperelliptic function fields
• Groups of \(S\)-units and the problem of periodicity of continued fractions 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
• Universal Bounds on the Torsion of Elliptic Curves
• On the problem of periodicity of continued fractions in hyperelliptic fields
• Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field
• Периодические непрерывные дроби и $S$-единицы с нормированиями второй степени в гиперэллиптических полях
• Groups ofS-units in hyperelliptic fields and continued fractions

This page was built for publication: Periodicity criterion for continued fractions of key elements in hyperelliptic fields