Continued fractions in hyperelliptic fields with an arbitrarily long period

DOI10.1134/S1064562424701928zbMATH Open1541.1106MaRDI QIDQ6575366

V. P. Platonov, G. V. Fedorov

Publication date: 19 July 2024

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

zbMATH Keywords

fundamental unitsperiod lengthunimodular transformationshyperelliptic field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Units and factorization (11R27) Continued fractions and generalizations (11J70)

Cites Work

• Title not available (Why is that?)
• Arithmetic of quadratic fields and torsion in Jacobians
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• Hyperelliptic continued fractions and generalized Jacobians
• Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field
• On the problem of classification of periodic continued fractions in hyperelliptic fields
• Groups ofS-units in hyperelliptic fields and continued fractions
• On the classification problem for polynomials with a periodic continued fraction expansion of in hyperelliptic fields
• Continued fractions and the classification problem for elliptic fields over quadratic fields of constants

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