On the sequences of polynomials \(\boldsymbol{f}\) with a periodic continued fraction expansion \(\sqrt{\boldsymbol{f}} \)

DOI10.3103/s002713222470013xMaRDI QIDQ6600277

G. V. Fedorov

Publication date: 9 September 2024

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

hyperelliptic fieldPell-type functional equationfundamental \(S\)-unitsproblem of periodicity of functional continued fractions

Mathematics Subject Classification ID

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

Cites Work

• Groups of \(S\)-units and the problem of periodicity of continued fractions in hyperelliptic fields
• On the periodicity of continued fractions in elliptic fields
• A type of hyperelliptic continued fraction
• Unlikely Intersections and Pell’s Equations in Polynomials
• 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 the problem of periodicity of continued fraction expansions of for cubic polynomials over algebraic number fields
• On the problem of classification of periodic continued fractions in hyperelliptic fields
• On the classification problem for polynomials with a periodic continued fraction expansion of in hyperelliptic fields

This page was built for publication: On the sequences of polynomials \(\boldsymbol{f}\) with a periodic continued fraction expansion \(\sqrt{\boldsymbol{f}} \)