On \(S\)-units for linear valuations and the periodicity of continued fractions of generalized type in hyperelliptic fields

DOI10.1134/S1064562419030116zbMath1439.11164OpenAlexW4248205663MaRDI QIDQ2332086

G. V. Fedorov, Vladimir Platonov

Publication date: 1 November 2019

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

Full work available at URL: https://doi.org/10.1134/s1064562419030116

zbMATH Keywords

generalized continued fractionshyperelliptic fieldsperiodicity of continued fractions

Mathematics Subject Classification ID

Units and factorization (11R27) Continued fractions and generalizations (11J70)

Related Items (1)

Vladimir Petrovich Platonov

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
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• 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
• 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
• ОБОБЩЕННЫЕ ЯКОБИАНЫ И НЕПРЕРЫВНЫЕ ДРОБИ В ГИПЕРЭЛЛИПТИЧЕСКИХ ПОЛЯХ
• Groups ofS-units in hyperelliptic fields and continued fractions

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