On the Problem of Periodicity of Continued Fraction Expansions of $$\sqrt f $$for Cubic Polynomials over Number Fields

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Works That Cite This (5)

Action	Title	Year	Authors
+	On the Finiteness of the Number of Expansions into a Continued Fraction of $$\sqrt f $$ for Cubic Polynomials over Algebraic Number Fields	2020	В. П. Платонов М. М. Петрунин
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+	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

Works Cited by This (14)

Action	Title	Year	Authors
+ PDF Chat	Torsion points on elliptic curves defined over quadratic fields	1988	M. A. Kenku Fumiyuki Momose
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+ PDF Chat	On the torsion of elliptic curves over cubic number fields	2004	Daeyeol Jeon Chang Heon Kim Andreas Schweizer
+	Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field	2014	В. П. Платонов
+	Bornes pour la torsion des courbes elliptiques sur les corps de nombres	1996	Lo x EF c Merel
+ PDF Chat	Universal Bounds on the Torsion of Elliptic Curves	1976	Daniel S. Kubert
+	ON THE TORSION OF ELLIPTIC CURVES OVER QUARTIC NUMBER FIELDS	2006	Daeyeol Jeon Chang Heon Kim Euisung Park
+	On the problem of periodicity of continued fractions in hyperelliptic fields	2018	В. П. Платонов Г. В. Федоров
+	On the Periodicity of Continued Fractions in Hyperelliptic Fields over Quadratic Constant Field	2018	В. П. Платонов V. S. Zhgoon 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