On the period length of a functional continued fraction over a number field

DOI10.1134/S1064562420060101zbMath1476.11016OpenAlexW3134376216MaRDI QIDQ2243827

G. V. Fedorov

Publication date: 11 November 2021

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

Full work available at URL: https://doi.org/10.1134/s1064562420060101

zbMATH Keywords

cyclotomic polynomialsEisenstein criterioncontinued fractionfundamental unitperiod lengthhyperelliptic field

Mathematics Subject Classification ID

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

Related Items (3)

Continued fractions and the classification problem for elliptic fields over quadratic fields of constants ⋮ Unnamed Item ⋮ On fundamental \(S\)-units and continued fractions constructed in hyperelliptic fields using two linear valuations

Cites Work

• Unnamed Item
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• On some problems of the arithmetical theory of continued fractions
• Universal Bounds on the Torsion of Elliptic Curves
• Multiples of Points on Elliptic Curves and Continued Fractions
• On continued fractions and diophantine approximation in power series 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
• On -units for valuations of the second degree in hyperelliptic fields
• On the problem of classification of periodic continued fractions in hyperelliptic fields
• Periodic continued fractions and elliptic curves over quadratic fields

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