On the Finiteness of Hyperelliptic Fields with Special Properties and Periodic Expansion of √f

В. П. Платонов, V. S. Zhgoon, М. М. Петрунин, Yu. N. Shteinikov

Type: Article

Publication Date: 2018-11-01

Citations: 13

DOI: https://doi.org/10.1134/s1064562418070281

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Doklady Mathematics - View

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Works That Cite This (9)

Action	Title	Year	Authors
+	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
+	Continued Fractions and the Classification Problem for Elliptic Fields Over Quadratic Fields of Constants	2023	Г. В. Федоров
+	On -units for valuations of the second degree in hyperelliptic fields	2019	Г. В. Федоров
+	Непрерывные дроби и проблема классификации эллиптических полей над квадратичными полями констант	2023	Г. В. Федоров
+	On the Problem of Periodicity of Continued Fraction Expansions of $$\sqrt f $$for Cubic Polynomials over Number Fields	2020	В. П. Платонов М. М. Петрунин V. S. Zhgoon
+	On the problem of periodicity of continued fraction expansions of for cubic polynomials over algebraic number fields	2021	В. П. Платонов V. S. Zhgoon М. М. Петрунин
+	On the Periodicity Problem for the Continued Fraction Expansion of Elements of Hyperelliptic Fields with Fundamental S-Units of Degree at Most 11	2021	В. П. Платонов М. М. Петрунин Yu. N. Shteinikov
+ PDF Chat	О проблеме периодичности разложений в непрерывную дробь $\sqrt{f}$ для кубических многочленов $f$ над полями алгебраических чисел	2022	В. П. Платонов V. S. Zhgoon М. М. Петрунин
+	New Results on the Periodicity Problem for Continued Fractions of Elements of Hyperelliptic Fields	2023	В. П. Платонов М. М. Петрунин

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+	Groups of<i>S</i>-units in hyperelliptic fields and continued fractions	2009	Valerii Vatslavovich Benyash-Krivets В. П. Платонов
+ PDF Chat	Ueber die Integration der Differential-Formel , wenn R und ϱ ganze Functionen sind.	1826	N. H. Abel
+	Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field	2014	В. П. Платонов
+	Fundamental S-units in hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves	2015	В. П. Платонов М. М. Петрунин
+	On the periodicity of continued fractions in hyperelliptic fields	2017	В. П. Платонов Г. В. Федоров
+	$ S$-Units and periodicity in quadratic function fields	2016	В. П. Платонов М. М. Петрунин
+	S-units in hyperelliptic fields and periodicity of continued fractions	2016	В. П. Платонов М. М. Петрунин
+	S-units and periodicity of square root in hyperelliptic fields	2017	М. М. Петрунин
+	On the periodicity of continued fractions in elliptic fields	2017	В. П. Платонов Г. В. Федоров
+ PDF Chat	On continued fractions and diophantine approximation in power series fields	2000	Wolfgang M. Schmidt