On periodicity of continued fractions in hyperelliptic function fields

DOI10.1007/BF01191166zbMath0728.14027MaRDI QIDQ804659

Thomas G. Berry

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

hyperelliptic curvePell equationcontinued fractionhyperelliptic function fields

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Continued fractions (11A55) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (15)

ОБОБЩЕННЫЕ ЯКОБИАНЫ И НЕПРЕРЫВНЫЕ ДРОБИ В ГИПЕРЭЛЛИПТИЧЕСКИХ ПОЛЯХ ⋮ Periodicity criterion for continued fractions of key elements in hyperelliptic fields ⋮ Continued fractions and the classification problem for elliptic fields over quadratic fields of constants ⋮ On the Periodicity of Continued Fractions in Hyperelliptic Fields ⋮ Unnamed Item ⋮ Continued fractions and periodic Jacobi matrices ⋮ On fundamental \(S\)-units and continued fractions constructed in hyperelliptic fields using two linear valuations ⋮ Continued fractions for rational torsion ⋮ Continued rational fractions in hyperelliptic fields and the Mumford representation ⋮ Periodicity of continued fractions in hyperelliptic function fields ⋮ Non-periodic continued fractions in hyperelliptic function fields ⋮ Pseudo-elliptic integrals, units, and torsion ⋮ Combinatoire des arbres planaires et arithmétique des courbes hyperelliptiques. (Combinatorics of planar trees and arithmetics of hyperelliptic curves) ⋮ On the parametrization of hyperelliptic fields with \(S\)-units of degrees 7 and 9 ⋮ A type of hyperelliptic continued fraction

Cites Work

• Unnamed Item
• On the integration of algebraic functions
• The spectrum of difference operators and algebraic curves
• Continued fractions and periodic Jacobi matrices
• On some problems of the arithmetical theory of continued fractions II

This page was built for publication: On periodicity of continued fractions in hyperelliptic function fields