Multiples of Points on Elliptic Curves and Continued Fractions

DOI10.1112/plms/s3-41.3.481zbMath0403.14002OpenAlexW1982524215MaRDI QIDQ4187912

Michael J. Razar, William W. Adams

Publication date: 1980

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-41.3.481

zbMATH Keywords

Elliptic CurveHyperelliptic CurvesMordell-Weil Group

Mathematics Subject Classification ID

Rational points (14G05) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Continued fractions and generalizations (11J70)

Related Items (29)

\(S\)-units and periodicity of continued fractions in hyperelliptic fields ⋮ Unnamed Item ⋮ Divisibility by 2 on quartic models of elliptic curves and rational Diophantine \(D(q)\)-quintuples ⋮ On the problem of periodicity of continued fractions in hyperelliptic fields ⋮ Equivalences between elliptic curves and real quadratic congruence function fields ⋮ Arithmetic of quadratic fields and torsion in Jacobians ⋮ О НЕКОТОРЫХ СВОЙСТВАХ НЕПРЕРЫВНЫХ ПЕРИОДИЧЕСКИХ ДРОБЕЙ С НЕБОЛЬШОЙ ДЛИНОЙ ПЕРИОДА, СВЯЗАННЫХ С ГИПЕРЭЛЛИПТИЧЕСКИМИ ПОЛЯМИ И S-ЕДИНИЦАМИ ⋮ Quartic integral polynomial Pell equations ⋮ Continued fractions and the classification problem for elliptic fields over quadratic fields of constants ⋮ On -units for valuations of the second degree in hyperelliptic fields ⋮ On the Periodicity of Continued Fractions in Hyperelliptic Fields ⋮ On the density of sequences of integers the sum of no two of which is a square. I: Arithmetic progressions ⋮ Parametrized units in algebraic number fields ⋮ Unnamed Item ⋮ On the problem of classification of periodic continued fractions in hyperelliptic fields ⋮ Continued fractions and periodic Jacobi matrices ⋮ On the period length of a functional continued fraction over a number field ⋮ On fundamental \(S\)-units and continued fractions constructed in hyperelliptic fields using two linear valuations ⋮ Continued fractions for rational torsion ⋮ \(S\)-units in hyperelliptic fields and periodicity of continued fractions ⋮ Non-periodic continued fractions in hyperelliptic function fields ⋮ Continued fractions and \(S\)-units in function fields ⋮ Periodic continued fractions and elliptic curves over quadratic fields ⋮ Class group frequencies of real quadratic function fields: The degree 4 case ⋮ Pseudo-elliptic integrals, units, and torsion ⋮ On the problem of describing elements of elliptic fields with a periodic expansion into a continued fraction over quadratic fields ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Real and imaginary quadratic representations of hyperelliptic function fields

This page was built for publication: Multiples of Points on Elliptic Curves and Continued Fractions