On the Periodicity of Continued Fractions in Hyperelliptic Fields

DOI10.1007/978-3-319-40673-2_6zbMath1371.11013OpenAlexW3022776836MaRDI QIDQ2977714

G. V. Fedorov

Publication date: 19 April 2017

Published in: Advances in Dynamical Systems and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-40673-2_6

zbMATH Keywords

unitscontinued fractionshyperelliptic function fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Continued fractions and generalizations (11J70) Continued fractions (11A55)

Cites Work

• Unnamed Item
• \(S\)-units and periodicity of continued fractions in hyperelliptic fields
• Arithmetic of quadratic fields and torsion in Jacobians
• On periodicity of continued fractions in hyperelliptic function fields
• Continued fractions and $ S$-units in hyperelliptic fields
• Computing in the Jacobian of a Hyperelliptic Curve
• Multiples of Points on Elliptic Curves and Continued Fractions
• 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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