S-units in hyperelliptic fields and periodicity of continued fractions

В. П. Платонов, М. М. Петрунин

Type: Article

Publication Date: 2016-09-01

Citations: 20

DOI: https://doi.org/10.1134/s1064562416050148

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+ PDF Chat	On S-units for linear valuations and the periodicity of continued fractions of generalized type in hyperelliptic fields	2019	В. П. Платонов Г. В. Федоров
+	Groups of S-Units and the Problem of Periodicity of Continued Fractions in Hyperelliptic Fields	2018	В. П. Платонов М. М. Петрунин
+	On the Finiteness of Hyperelliptic Fields with Special Properties and Periodic Expansion of √f	2018	В. П. Платонов V. S. Zhgoon М. М. Петрунин Yu. N. Shteinikov
+	Periodicity Criterion for Continued Fractions of Key Elements in Hyperelliptic Fields	2022	В. П. Платонов Г. В. Федоров
+	On the periodicity of continued fractions in hyperelliptic fields	2017	В. П. Платонов Г. В. Федоров
+	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
+	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
+ PDF Chat	Критерий периодичности непрерывных дробей ключевых элементов гиперэллиптических полей	2019	В. П. Платонов Г. В. Федоров
+ 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

Works Cited by This (7)

Action	Title	Year	Authors
+	Multiples of Points on Elliptic Curves and Continued Fractions	1980	William W. Adams Michael J. Razar
+	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
+	S-units and periodicity of continued fractions in hyperelliptic fields	2015	В. П. Платонов Г. В. Федоров
+ PDF Chat	On continued fractions and diophantine approximation in power series fields	2000	Wolfgang M. Schmidt