Continued fractions and the classification problem for elliptic fields over quadratic fields of constants

Arithmetic theory of algebraic function fields (11R58) Units and factorization (11R27) Rational points (14G05) Continued fractions and generalizations (11J70)

Cites Work

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On periodicity of continued fractions in hyperelliptic function fields
On the periodicity of continued fractions in hyperelliptic fields over quadratic constant field
On the finiteness of hyperelliptic fields with special properties and periodic expansion of $\sqrt{f}$
On the problem of describing elements of elliptic fields with a periodic expansion into a continued fraction over quadratic fields
On the finiteness of the number of expansions into a continued fraction of $ \sqrt f$ for cubic polynomials over algebraic number fields
On the period length of a functional continued fraction over a number field
On the finiteness of the number of elliptic fields with given degrees of $S$-units and periodic expansion of $ \sqrt f$
$S$-units and periodicity of square root in hyperelliptic fields
On the periodicity of continued fractions in elliptic fields
$ S$-Units and periodicity in quadratic function fields
Torsion points on elliptic curves defined over quadratic fields
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
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
Continued Fractions and Hankel Determinants from Hyperelliptic Curves
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

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