В. П. Платонов

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All published works

Action	Title	Year	Authors
+	Continued fractions in hyperelliptic fields with an arbitrarily large period length	2024	В. П. Платонов Г. В. Федоров
+	Continued Fractions in Hyperelliptic Fields with an Arbitrarily Long Period	2024	В. П. Платонов Г. В. Федоров
+	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
+	ON THE FINITENESS OF THE SET OF GENERALIZED JACOBIANS WITH NONTRIVIAL TORSION POINTS OVER ALGEBRAIC NUMBER FIELDS	2023	В. П. Платонов Г. В. Федоров V. S. Zhgoon
+	Algebraic Number Theory	2023	В. П. Платонов Andrei S. Rapinchuk Igor A. Rapinchuk
+	Algebraic Groups and Number Theory	2023	В. П. Платонов Andrei S. Rapinchuk Igor A. Rapinchuk
+	New Results on the Periodicity Problem for Continued Fractions of Elements of Hyperelliptic Fields	2023	В. П. Платонов М. М. Петрунин
+	Periodicity Criterion for Continued Fractions of Key Elements in Hyperelliptic Fields	2022	В. П. Платонов Г. В. Федоров
+ PDF	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
+	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
+	On the classification problem for polynomials with a periodic continued fraction expansion of in hyperelliptic fields	2021	В. П. Платонов Г. В. Федоров
+	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
+	On the problem of classification of periodic continued fractions in hyperelliptic fields	2020	В. П. Платонов 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 classification of periodic continued fractions in hyperelliptic fields	2020	В. П. Платонов Г. В. Федоров
+ PDF	On the finiteness of the number of elliptic fields with given degrees of S-units and periodic expansion of √f	2019	В. П. Платонов М. М. Петрунин Yu. N. Shteinikov
+ PDF	Критерий периодичности непрерывных дробей ключевых элементов гиперэллиптических полей	2019	В. П. Платонов Г. В. Федоров
+	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	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
+ PDF	On infinite-dimensional integer Hankel matrices	2019	В. П. Платонов М. М. Петрунин
+	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
+	On Infinite-Dimensional Integer Hankel Matrices	2019	В. П. Платонов М. М. Петрунин
+ PDF	The criterion of periodicity of continued fractions of key elements in hyperelliptic fields	2019	В. П. Платонов Г. В. Федоров
+	On the Finiteness of Hyperelliptic Fields with the Special Properties and Periodic Expansion of √f	2018	В. П. Платонов М. М. Петрунин Владимир Сергеевич Жгун Yu. Shteynikov
+	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
+	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 the Periodicity of Continued Fractions in Hyperelliptic Fields over Quadratic Constant Field	2018	В. П. Платонов V. S. Zhgoon Г. В. Федоров
+	On The Periodicity of the Continued Fractions in the Hyperelliptic Fields over Quadratic Constant Field	2018	В. П. Платонов Владимир Сергеевич Жгун G. Fyodorov
+	Groups of S-Units and the Problem of Periodicity of Continued Fractions in Hyperelliptic Fields	2018	В. П. Платонов М. М. Петрунин
+	Ensuring the accuracy characteristics of the stabilization of a prospective Earth remote sensing spacecraft	2018	A. V. Sumarokov В. П. Платонов
+	On New Arithmetic Properties of Determinants of Hankel Matrices	2018	В. П. Платонов М. М. Петрунин
+	On the problem of periodicity of continued fractions in hyperelliptic fields	2018	В. П. Платонов Г. В. Федоров
+	On the problem of periodicity of continued fractions in hyperelliptic fields	2018	В. П. Платонов Г. В. Федоров
+	On new properties of Hankel matrices over the field of rational numbers	2017	В. П. Платонов
+	Askar Serkulovich Dzhumadil'daev (on his 60th birthday)	2017	L. A. Bokut Efim Zelmanov Pasha Zusmanovich Victor G. Kač Leonid Makar-Limanov Yu. I. Manin S P Novikov Алексей Николаевич Паршин В. П. Платонов I. A. Taĭmanov
+	On the periodicity of continued fractions in elliptic fields	2017	В. П. Платонов Г. В. Федоров
+	On the periodicity of continued fractions in hyperelliptic fields	2017	В. П. Платонов Г. В. Федоров
+ PDF	Аскар Серкулович Джумадильдаев (к шестидесятилетию со дня рождения)	2017	L. A. Bokut Efim Zelmanov Pasha Zusmanovich Victor G. Kač Leonid Makar-Limanov Yuri Ivanovich Manin Сергей Петрович Новиков Alexey Nikolaevich Parshin В. П. Платонов I. A. Taĭmanov
+	Continued rational fractions in hyperelliptic fields and the Mumford representation	2016	В. П. Платонов V. S. Zhgoon 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
+	Efim Isaakovich Zelmanov is 60 years old	2016	L. A. Bokut E S Golod Rostislav Grigorchuk V. N. Zhelyabin Victor G. Kač A. R. Kemer V. V. Kirichenko Pavel Kolesnikov S. S. Kutateladze V. N. Latyshev
+	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
+	New curves of genus 2 over the field of rational numbers whose Jacobians contain torsion points of high order	2015	В. П. Платонов М. М. Петрунин
+	Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field	2014	В. П. Платонов
+	On the simplicity of Jacobians for hyperelliptic curves of genus 2 over the field of rational numbers with torsion points of high order	2013	В. П. Платонов Владимир Сергеевич Жгун М. М. Петрунин
+	New orders of torsion points in Jacobians of curves of genus 2 over the rational number field	2012	В. П. Платонов М. М. Петрунин
+	New properties of arithmetic groups	2011	В. П. Платонов
+	A new local-global principle for quadratic functional fields	2010	Valerii Vatslavovich Benyash-Krivets В. П. Платонов
+	Arithmetic of quadratic fields and torsion in Jacobians	2010	В. П. Платонов
+ PDF	Новые свойства арифметических групп	2010	В. П. Платонов В. П. Платонов
+	Groups of<i>S</i>-units in hyperelliptic fields and continued fractions	2009	Valerii Vatslavovich Benyash-Krivets В. П. Платонов
+	Minimal irreducible linear groups and representation of finite groups	2009	В. П. Платонов
+	On some equations related to the tpp-groups	2009	В. П. Платонов S. P. Strunkov
+	Continued fractions and S-units in function fields	2008	Valerii Vatslavovich Benyash-Krivets В. П. Платонов
+ PDF	Continued fractions and $ S$-units in hyperelliptic fields	2008	Valerii Vatslavovich Benyash-Krivets В. П. Платонов
+ PDF	Groups of S-units in hyperelliptic fields	2007	Valerii Vatslavovich Benyash-Krivets В. П. Платонов
+ PDF	$ S$-units in hyperelliptic fields	2007	Valerii Vatslavovich Benyash-Krivets В. П. Платонов
+	To the linearity of automorphism groups for free metabelian groups	2006	В. П. Платонов
+ PDF	New properties of lattices in Lie groups	2004	Fritz Grunewald В. П. Платонов
+	Rigidity results for groups with radical cohomology of finite groups and arithmeticity problems	1999	Fritz Grunewald В. П. Платонов
+	SOLVABLE ARITHMETIC GROUPS AND ARITHMETICITY PROBLEMS	1999	Fritz Grunewald В. П. Платонов
+	Correction to: 'Rigidity for groups with radical, cohomology of finite groups, and arithmeticity problems' by V.P.Platonov, Russian Math. Surveys 54 (1999), no. 1, 171-179.	1999	В. П. Платонов
+	Rigidity for groups with radical, cohomology of finite groups, and arithmeticity problems	1999	В. П. Платонов
+	The rationality problem for semisimple group varieties	1998	В. П. Платонов Vladimir Chernousov
+	Rigidity and automorphism groups of solvable arithmetic groups	1998	Fritz Grunewald В. П. Платонов
+	Non-arithmetic polycyclic groups	1998	Fritz Grunewald В. П. Платонов
+	Rationality Problems for Group Varieties	1998	В. П. Платонов
+	On finite extensions of arithmetic groups	1997	Fritz Grunewald В. П. Платонов
+	Adelic Profinite Groups	1997	В. П. Платонов B. Sury
+	Low-dimensional representations of Aut (F 2)	1996	Dragomir Ž. Ðoković В. П. Платонов
+	Finite-Dimensional Division Algebras	1996	В. П. Платонов V. I. Yanchevskiĭ
+	Linear preserver problems and algebraic groups	1995	В. П. Платонов Dragomir Ž. Ðoković
+	A	1995	И. А. Виноградова A. G. El’kin Yu. V. Prokhorov Б. А. Ефимов L. P. Kuptsov Н. Х. Розов В. А. Осколков L. D. Kudryavtsev B. V. Khvedelidze A. A. Zakharov
+	G	1995	A. F. Kharshiladze D. V. Alekseevskiĭ N. N. Vorob’ëv V. A. Trenogin A. Z. Petrov D. D. Sokolov E. A. Nisnevich A. I. Skopin S. P. Demushkin В. П. Платонов
+	R	1995	L. A. Skornyakov I.P. Mysovskikh A. A. Talalyan E. D. Solomentsev A. G. Sveshnikov V. A. Chuyanov A. L. Shmel’kin V. A. Andrunakievich R. A. Minlos K. Yu. Bulota
+	C	1995	A. I. Shtern Б. А. Ефимов S. Yu. Maslov V. A. Dushskiĭ П. И. Лизоркин Yu. A. Bakhturin I. Kh. Sabitov A. N. Parshin A. V. Prokhorov I. O. Sarmanov
+	L	1995	Henk Barendregt Igor V. Dolgachev G. Rozenberg A. Salomaa А. П. Солдатов A. F. Leont’ev V. F. Emel’yanov Igor Egorov Н. Х. Розов V. Rumyantsev
+	ABSTRACT PROPERTIES OF $ S$-ARITHMETIC GROUPS AND THE CONGRUENCE PROBLEM	1993	В. П. Платонов Andrei S. Rapinchuk
+	Algebraic groups and number theory	1992	В. П. Платонов Andrei S. Rapinchuk
+	Soviet-Indian Symposium “Algebraic groups and Lie algebras”	1990	Askar Dzhumadil’daev В. П. Платонов
+	Structure of groups of rational points of classical algebraic groups over number fields	1990	В. П. Платонов Andrei S. Rapinchuk
+	Grothendieck's problem on profinite completions and representations of groups	1990	В. П. Платонов O. I. Tavgen′
+	THE HASSE NORM PRINCIPLE FOR ALGEBRAIC NUMBER FIELDS	1987	Yu A Drakokhrust В. П. Платонов
+	Algebraic groups	1985	В. П. Платонов Andrei S. Rapinchuk
+	DIEUDONNÉ'S CONJECTURE ON THE STRUCTURE OF UNITARY GROUPS OVER A DIVISION RING, AND HERMITIAN<i>K</i>-THEORY	1985	В. П. Платонов V. I. Yanchevskiĭ
+	The arithmetic theory of algebraic groups	1982	В. П. Платонов
+	CLASS NUMBERS AND GROUPS OF ALGEBRAIC GROUPS	1980	В. П. Платонов А. А. Бондаренко A S Rapinčuk
+	Twenty Lectures Delivered at the International Congress of Mathematicians in Vancouver, 1974	1977	D. V. Anosov Ja. Barzdin′ E. B. Dynkin Владимир Филиппов B Gnedenko A. Karacuba N. Korneĭcuk А. А. Леонтьев Григорий Александрович Маргулис V. D. Mazurov
+	THE TANNAKA-ARTIN PROBLEM AND REDUCED<i>K</i>-THEORY	1976	В. П. Платонов
+	THE INFINITUDE OF THE REDUCED WHITEHEAD GROUP IN THE TANNAKA-ARTIN PROBLEM	1976	В. П. Платонов
+	Algebraic groups	1975	В. П. Платонов
+	ADDENDUM TO THE PAPER "THE PROBLEM OF STRONG APPROXIMATION AND THE KNESER-TITS CONJECTURE FOR ALGEBRAIC GROUPS"	1970	В. П. Платонов
+	Proof of the finiteness hypothesis for the solvable subgroups of algebraic groups	1970	В. П. Платонов
+	THE PROBLEM OF STRONG APPROXIMATION AND THE KNESER-TITS CONJECTURE FOR ALGEBRAIC GROUPS	1969	В. П. Платонов
+	ON A PROBLEM OF MAL'CEV	1969	В. П. Платонов
+	ADELE GROUPS AND INTEGRAL REPRESENTATIONS	1969	В. П. Платонов
+	Some remarks on linear groups	1968	В. П. Платонов
+	Theory of algebraic linear groups and periodic groups	1968	В. П. Платонов
+	Seven Papers on Algebra	1968	S. N. Černikov Э. С. Дроботенко В. С. Дроботенко А. В. Лапин A. Mal′cev I. I Pjateckiĭ-Šapiro В. П. Платонов E. Pogoriljak L E Sadovskii I. R. Šafarevič
+	Thirteen Papers on Group Theory, Algebraic Geometry and Algebraic Topology	1968	Anatoli Andrianov V A Dem'janenko S. Demuškin Nikolaj Vladimirovich. Efimov Norman Feldman М. И. Граев S. Juzvinskiĭ A. Kostrikin A. Lapin S. P. Novikov
+	INVARIANCE THEOREMS AND ALGEBRAIC GROUPS WITH AN ALMOST-REGULAR AUTOMORPHISM	1967	В. П. Платонов
+	Periodic and compact subgroups of topological groups	1967	В. П. Платонов

Common Coauthors

Coauthor	Papers Together
М. М. Петрунин	20
Г. В. Федоров	20
V. S. Zhgoon	8
Andrei S. Rapinchuk	8
Valerii Vatslavovich Benyash-Krivets	6
L. N. Shevrin	6
Fritz Grunewald	6
E. G. Sklyarenko	5
A. L. Onishchik	5
V. I. Danilov	5
Оlga А. Ivanova	5
L. D. Kudryavtsev	5
L. A. Bokut	5
Yu. V. Prokhorov	5
Н. Х. Розов	5
Vladimir L. Popov	5
D. D. Sokolov	5
M. Sh. Tsalenko	5
N. M. Nagornyĭ	5
E. D. Solomentsev	5
A. V. Mikhalëv	5
D. V. Alekseevskiĭ	5
A. V. Prokhorov	5
А. В. Архангельский	5
L. A. Skornyakov	5
V. M. Kopytov	5
N. N. Vil’yams	4
D. V. Anosov	4
S P Novikov	4
E. M. Chirka	4
V. T. Bazylev	4
A. P. Prudnikov	4
L. A. Sidorov	4
A. M. Nakhushev	4
Д. А. Пономарев	4
M. I. Voĭtsekhovskiĭ	4
Yu. I. Merzlyakov	4
I. Kh. Sabitov	4
V. M. Millionshchikov	4
G. E. Mints	4
V. A. Iskovskikh	4
Yu. D. Burago	4
A. I. Shtern	4
Б. М. Бредихин	4
I. V. Proskuryakov	4
Б. И. Голубов	4
V. N. Grishin	4
V. V. Prelov	4
A. A. Konyushkov	4
E. V. Shikin	4

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Number-theoretic properties of hyperelliptic fields and the torsion problem in Jacobians of hyperelliptic curves over the rational number field	2014	В. П. Платонов	27
+	On the problem of periodicity of continued fractions in hyperelliptic fields	2018	В. П. Платонов Г. В. Федоров	18
+	Groups of<i>S</i>-units in hyperelliptic fields and continued fractions	2009	Valerii Vatslavovich Benyash-Krivets В. П. Платонов	17
+ PDF	On continued fractions and diophantine approximation in power series fields	2000	Wolfgang M. Schmidt	14
+ PDF	Universal Bounds on the Torsion of Elliptic Curves	1976	Daniel S. Kubert	14
+	Multiples of Points on Elliptic Curves and Continued Fractions	1980	William W. Adams Michael J. Razar	13
+	Groups of S-Units and the Problem of Periodicity of Continued Fractions in Hyperelliptic Fields	2018	В. П. Платонов М. М. Петрунин	12
+	S-units in hyperelliptic fields and periodicity of continued fractions	2016	В. П. Платонов М. М. Петрунин	12
+	Théorèmes de finitude en cohomologie galoisienne	1964	Armand Borel Jean-Pierre Serre	11
+	Continued rational fractions in hyperelliptic fields and the Mumford representation	2016	В. П. Платонов V. S. Zhgoon Г. В. Федоров	11
+	S-units and periodicity of continued fractions in hyperelliptic fields	2015	В. П. Платонов Г. В. Федоров	11
+	On the periodicity of continued fractions in elliptic fields	2017	В. П. Платонов Г. В. Федоров	9
+	On the periodicity of continued fractions in hyperelliptic fields	2017	В. П. Платонов Г. В. Федоров	9
+	Теоретико-числовые свойства гиперэллиптических полей и проблема кручения в якобианах гиперэллиптических кривых над полем рациональных чисел	2014	В. П. Платонов В. П. Платонов	9
+	Arithmetic of quadratic fields and torsion in Jacobians	2010	В. П. Платонов	9
+ PDF	Ueber die Integration der Differential-Formel , wenn R und ϱ ganze Functionen sind.	1826	N. H. Abel	9
+	$ S$-Units and periodicity in quadratic function fields	2016	В. П. Платонов М. М. Петрунин	8
+	Algebraic and Abstract Simple Groups	1964	Jacques Tits	8
+	Algebraic groups and number theory	1992	В. П. Платонов Andrei S. Rapinchuk	8
+	Rational points on modular curves	1977	Barry Mazur	8
+	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	7
+	On the problem of periodicity of continued fractions in hyperelliptic fields	2018	В. П. Платонов Г. В. Федоров	7
+ PDF	Constructing elliptic curves over finite fields with prescribed torsion	2011	Andrew V. Sutherland	7
+	S-units and periodicity of square root in hyperelliptic fields	2017	М. М. Петрунин	7
+ PDF	Torsion points on elliptic curves defined over quadratic fields	1988	M. A. Kenku Fumiyuki Momose	7
+ PDF	Some finiteness properties of adele groups over number fields	1963	Armand Borel	6
+ PDF Chat	On the congruence subgroup problem	1976	M. S. Raghunathan	6
+	The arithmetic theory of algebraic groups	1982	В. П. Платонов	6
+	On finite extensions of arithmetic groups	1997	Fritz Grunewald В. П. Платонов	6
+	THE TANNAKA-ARTIN PROBLEM AND REDUCED<i>K</i>-THEORY	1976	В. П. Платонов	6
+ PDF	Density and maximality of arithmetic subgroups.	1966	Armand Borel	6
+	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	6
+	On periodicity of continued fractions in hyperelliptic function fields	1990	T. G. Berry	5
+	Solution of the congruence subgroup problem for SL n (n ≥ 3) and Sp2n (n ≥ 2)	1967	Hyman Bass John Milnor Jean-Pierre Serre	5
+ PDF	Sur certains groupes simples	1955	Catherine Chevalley	5
+	New orders of torsion points in Jacobians of curves of genus 2 over the rational number field	2012	В. П. Платонов М. М. Петрунин	5
+ PDF	On the finiteness of the number of elliptic fields with given degrees of S-units and periodic expansion of √f	2019	В. П. Платонов М. М. Петрунин Yu. N. Shteinikov	5
+	Geometric Theory of Functions of a Complex Variable	1969	G. Goluzin	5
+	Rigidity results for groups with radical cohomology of finite groups and arithmeticity problems	1999	Fritz Grunewald В. П. Платонов	5
+	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	5
+	Discrete Subgroups of Semisimple Lie Groups	1991	Gregori Aleksandrovitch Margulis	5
+	Linear Algebraic Groups	1975	James E. Humphreys	5
+	Geometry II	1987		5
+	Algebraic Geometry	1977	Robin Hartshorne	5
+	Basic Number Theory	1967	André Weil	5
+ PDF	Groups of S-units in hyperelliptic fields	2007	Valerii Vatslavovich Benyash-Krivets В. П. Платонов	5
+	THE PROBLEM OF STRONG APPROXIMATION AND THE KNESER-TITS CONJECTURE FOR ALGEBRAIC GROUPS	1969	В. П. Платонов	5
+	Le Probleme des Groupes de Congruence Pour SL 2	1970	Jean-Pierre Serre	5
+	Starke Approximation in algebraischen Gruppen. I.	1965	Martin Kneser	5
+ PDF	The Nielsen Realization Problem	1983	Steven P. Kerckhoff	5