Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field

Type: Article

Publication Date: 2014-02-28

Citations: 58

DOI: https://doi.org/10.1070/rm2014v069n01abeh004877

Locations

  • Russian Mathematical Surveys - View

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Works That Cite This (47)

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+ On the Finiteness of the Number of Elliptic Fields with Given Degrees of $$S$$ -Units and Periodic Expansion of $$\sqrt f $$ 2019 В. П. Платонов
М. М. Петрунин
Yu. N. Shteinikov
+ PDF Chat Relationships Between Hyperelliptic Functions of Genus 2 and Elliptic Functions 2022 Takanori Ayano
Victor Matveevich Buchstaber
+ On the Periodicity of Continued Fractions in Hyperelliptic Fields over Quadratic Constant Field 2018 В. П. Платонов
V. S. Zhgoon
Г. В. Федоров
+ On Infinite-Dimensional Integer Hankel Matrices 2019 В. П. Платонов
М. М. Петрунин
+ On the problem of classification of periodic continued fractions in hyperelliptic fields 2020 В. П. Платонов
Г. В. Федоров
+ An Infinite Family of Curves of Genus 2 over the Field of Rational Numbers Whose Jacobian Varieties Contain Rational Points of Order 28 2018 В. П. Платонов
Г. В. Федоров
+ On New Arithmetic Properties of Determinants of Hankel Matrices 2018 В. П. Платонов
М. М. Петрунин
+ Continued Fractions and the Classification Problem for Elliptic Fields Over Quadratic Fields of Constants 2023 Г. В. Федоров
+ Hyperelliptic continued fractions and generalized Jacobians 2019 Umberto Zannier
+ On the Finiteness of the Set of Generalized Jacobians with Nontrivial Torsion Points over Algebraic Number Fields 2023 В. П. Платонов
V. S. Zhgoon
Г. В. Федоров