Юрий Валентинович Нестеренко, Yuri Valentinovich Nesterenko,
Математические заметкиТом 88 выпуск 4 октябрь 2010 УДК 511 О показателе иррациональности числа ln 2 Ю. В. НестеренкоПредлагается иной способ вывода оценки Марковеккио для меры иррациональности числа ln 2, следующий в основном методу доказательства иррациональности числа (3), предложенному нами в 1996 г.Доказательство использует однократные комплексные интегралы -так называемые G-функции Мейера и намного проще, чем у Марковеккио.Библиография: 16 названий.Для каждого иррационального числа можно определить ...
2010 - Springer Science+Business Media | Математические заметки
Юрий Валентинович Нестеренко, Yuri Valentinovich Nesterenko,
1996 - Springer Science+Business Media | Математические заметки
Юрий Валентинович Нестеренко, Yuri Valentinovich Nesterenko,
Tópico(s): Advanced Algebra and Geometry
1996 - Moscow Mathematical Society | Математический сборник
Laurent Michel, Maurice Mignotte, Yuri Valentinovich Nesterenko,
We give a new lower bound for a linear form in two logarithms. This work combines the technique of interpolation determinants introduced by M. Laurent and a zero-lemma due to Y. Nesterenko.
Tópico(s): Polynomial and algebraic computation
1995 - Elsevier BV | Journal of Number Theory
Yuri Valentinovich Nesterenko, Patrice Philippon,
Tópico(s): Advanced Mathematical Identities
2001 - Springer Nature | Lecture notes in mathematics
Yuri Valentinovich Nesterenko, Patrice Philippon,
In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions w
Tópico(s): Algebraic Geometry and Number Theory
2001 - Springer Nature | Lecture notes in mathematics
Yuri Valentinovich Nesterenko,
Some general construction of linear forms with rational coefficients in values of Riemann zeta-function at integer points is presented. These linear forms are expressed in terms of complex integrals of Barnes type that allows to estimate them. Some identity connecting these integrals and multiple integrals on the real unit cube is proved.
Tópico(s): Advanced Mathematical Identities
2003 - Institut de Mathématiques de Bordeaux | Journal de Théorie des Nombres de Bordeaux
Юрий Валентинович Нестеренко, Yuri Valentinovich Nesterenko, A B Shidlovskiĭ, A B Shidlovskiĭ,
1996 - Moscow Mathematical Society | Математический сборник
Yuri Valentinovich Nesterenko, Patrice Philippon,
Ce chapitre utilise, dans un cadre géométrique, le chapitre 5 sur la théorie de l'élimination multihomogéne. On rappelle que l'on travaille avec un espace multiprojectif de la forme $$ {\rm P} = {\rm P}_K^{n_1 } \times \cdots \times {\rm P}_K^{n_q } $$ oú n1,⋯ nq sont des entiers naturels et K un corps de nombres. L'é1imination multihomogéne s'applique á la géométrie, en premier lieu, par la définition de hauteurs d'un sous-schéma fermé de P. La construction de hauteurs a Wétudiée par de nombreux auteurs soit dans le ...
Tópico(s): Homotopy and Cohomology in Algebraic Topology
2001 - Springer Nature | Lecture notes in mathematics
Yuri Valentinovich Nesterenko, Peter Schlickewei,
The workshop Diophantische Approximationen (Diophantine approximations), organised by Yuri V. Nesterenko (Moscow) and Hans-Peter Schlickewei (Marburg) was held April 15th–April 21st, 2007. This meeting was well attended with over 40 participants with broad geographic representation. This workshop was a nice blend of researchers with various backgrounds. All the participants were inspired by the fact that the conference immediately followed the 300 anniversary of Euler birth (15.04.1707). Loosely speaking ...
Tópico(s): Topological and Geometric Data Analysis
2008 - | Oberwolfach Reports
David Masser, Yuri Valentinovich Nesterenko, Hans Peter Schlickewei, Wolfgang M. Schmidt, Michel Waldschmidt, Francesco Amoroso, Umberto Zannier,
Tópico(s): History and Theory of Mathematics
2003 - Springer Nature | Lecture notes in mathematics
Yuri Valentinovich Nesterenko, Patrice Philippon,
Let f 1(z),⋯, (z) be a set of functions analytic at the point 0 and n, h natural numbers. It's easy to see that there exist a nonzero polynomial P(z,x 1,⋯,x m) ε C[z,x 1,⋯, x m], such that degz, P ≤n, degx P ≤h and $$ ord_{z = 0} P\left( {z,f_1 \left( z \right), \ldots ,f_m \left( z \right)} \right) \geqslant \left( {m!} \right)^{ - 1} nh^m . $$ The upper bounds for this order of zero in terms of n and h depends on individual properties of functions f l, ⋯, f m. For example, if functions are algebraically dependent over C(z), ...
Tópico(s): Meromorphic and Entire Functions
2001 - Springer Nature | Lecture notes in mathematics
Yuri Valentinovich Nesterenko, Patrice Philippon,
Ce chapitre et le chapitre 7 entendent donner des outils de géométrie diophantienne dans les espaces multiprojectifs c'est-Á-dire du type $$ {\rm P} = {\rm P}_K^{n_1 } \times \cdots \times {\rm P}_K^{n_q } $$ oün1, ⋯n q sont des entiers naturels et K un corps de nombres. Pour la plupart nos résultats fournissent les généralisations naturelles d'énoncés connus dans le cas projectif (correspondant á q = 1) et dus principalement á P. Philippon (voir [PPh2] et [Jadj). On pourra comparer avec les approches de Y.V. Nesterenko [Nes2]
2001 - Springer Nature | Lecture notes in mathematics
Yuri Valentinovich Nesterenko,
Polylogarithmic functions are defined by series $$ L_k \left( z \right) = \sum\limits_{v = 1}^\infty {\frac{{z^v }} {{v^k }}} , k \geqslant 1. $$ Due to equalities Lk;(1) = ζ(k), k ≥ 2, they play an important role in study of arithmetic properties of Riemann zeta-function ζ(s) at integer points.
Tópico(s): Mathematical Approximation and Integration
2008 - Springer Nature | Developments in mathematics
Сергей Петрович Новиков, Сергей Петрович Новиков, Александр Иванович Аптекарев, Alexander Ivanovich Aptekarev, Е.П. Долженко, Е.П. Долженко, Валерий Александрович Калягин, Valerii Aleksandrovich Kalyagin, Валерий Васильевич Козлов, Валерий Васильевич Козлов, Юрий Валентинович Нестеренко, Yuri Valentinovich Nesterenko, М. К. Потапов, М. К. Потапов, В. Н. Сорокин, В. Н. Сорокин, Петр Лаврентьевич Ульянов, P L Ul'yanov,
1996 - IOP Publishing | Успехи математических наук
С. В. Востоков, Sergey Gorchinskiy, Alexander Zheglov, Yurii G Zarkhin, Yuri Valentinovich Nesterenko, Dmitri Olegovich Orlov, Denis Vasilievich Osipov, Vladimir L. Popov, Армен Глебович Сергеев, Igor R. Shafarevich,
Tópico(s): advanced mathematical theories
2013 - IOP Publishing | Russian Mathematical Surveys
Alexander Khalin, Stanislav Fedyunin, M. Yu. Nesterenko, Yuri Valentinovich Nesterenko, Denis Grintsov,
Tópico(s): Agriculture and Biological Studies
2023 - American Institute of Physics | AIP conference proceedings
Nikolay Solomatin, Yuri Vladov, Maxime Nesterenko, Yuri Valentinovich Nesterenko, Oksana Kapustina,
The article investigates the use of aggregated models for geodynamic assessment of the ecological and economic assessment of the territory of the hydrocarbon field under development, including the values of reservoir pressure drops from the initial level. The significant potential of the developed identification technology and the proposed state models suggests the need for further research and enrichment of the created scientific direction. The results of the study allow us to build a more efficient ...
Tópico(s): Geological Studies and Exploration
2023 - EDP Sciences | BIO Web of Conferences
Fedor Bogomolov, Анатолий Моисеевич Вершик, С. В. Востоков, Sergey Gorchinskiy, Alexander Zheglov, Yuri G. Zarhin, Sergei Vladimirovich Konyagin, Victor Stepanovich Kulikov, Yuri Valentinovich Nesterenko, Dmitri Olegovich Orlov, Denis Vasilievich Osipov, Ivan Panin, В. П. Платонов, Vladimir L. Popov, Yuri Prokhorov, Aleksandr Leonidovich Smirnov,
Алексей Николаевич Паршин18 июня 2022 г. ушел из жизни выдающийся советский и российский математик, ярчайший представитель московской
Tópico(s): Advanced Scientific Research Methods
2023 - IOP Publishing | Успехи математических наук
Fedor Bogomolov, Анатолий Моисеевич Вершик, С. В. Востоков, Sergey Gorchinskiy, Alexander Zheglov, Yuri G. Zarhin, Sergeĭ Konyagin, Victor Stepanovich Kulikov, Yuri Valentinovich Nesterenko, Dmitri Olegovich Orlov, Denis Vasilievich Osipov, Ivan Panin, В. П. Платонов, Vladimir L. Popov, Yuri Prokhorov, Aleksandr Leonidovich Smirnov,
2023 - IOP Publishing | Russian Mathematical Surveys
Yuri Valentinovich Nesterenko,
Tópico(s): Rough Sets and Fuzzy Logic
1983 - Pleiades Publishing | Moscow University Mathematics Bulletin
Юрий Валентинович Нестеренко, Yuri Valentinovich Nesterenko,
Q(e α 1 , . . ., e α d ), где α1, . . ., α d -алгебраические над полем рациональных чисел p-адические числа, составляющие базис некоторого конечного расширения Q.
2008 - Russian Academy of Sciences | Известия Российской академии наук Серия математическая
Александр Иванович Аптекарев, Alexander Ivanovich Aptekarev, П. А. Бородин, П. А. Бородин, Борис Сергеевич Кашин, Борис Сергеевич Кашин, Юрий Валентинович Нестеренко, Yuri Valentinovich Nesterenko, Петр Владимирович Парамонов, Петр Владимирович Парамонов, Андрей Владимирович Покровский, Андрей Владимирович Покровский, Армен Глебович Сергеев, Армен Глебович Сергеев, Анатолий Тимофеевич Фоменко, А. Т. Фоменко,
2014 - IOP Publishing | Успехи математических наук
N. N. Andreev, N. N. Andreev, Виктор Матвеевич Бухштабер, Victor Matveevich Buchstaber, Алексей Игоревич Гарбер, Алексей Игоревич Гарбер, Валерий Васильевич Козлов, Валерий Васильевич Козлов, Сергей Петрович Коновалов, S. P. Konovalov, Аркадий Анатольевич Мальцев, Аркадий Анатольевич Мальцев, Юрий Валентинович Нестеренко, Yuri Valentinovich Nesterenko, Сергей Петрович Новиков, Сергей Петрович Новиков, Алексей Николаевич Паршин, Алексей Николаевич Паршин, Иджад Хакович Сабитов, Иджад Хакович Сабитов, A. L. Semenov, A. L. Semenov, Армен Глебович Сергеев, Армен Глебович Сергеев, О. К. Шейнман, О. К. Шейнман, Михаил Иванович Штогрин, Михаил Иванович Штогрин, Евгений Витальевич Щепин, E. V. Shchepin,
2014 - IOP Publishing | Успехи математических наук
Yann Bugeaud, Yuri Valentinovich Nesterenko,
This Number Theoretic conference was focused on the following subjects: the Littlewood conjecture, simultaneous homogeneous and inhomogeneous Diophantine approximation, geometry of numbers, irrationality, Diophantine approximation in function fields, counting questions in number fields, effective methods for resolution of Diophantine equations.
Tópico(s): Analytic Number Theory Research
2013 - | Oberwolfach Reports
С. В. Востоков, С. В. Востоков, Сергей Олегович Горчинский, Sergey Gorchinskiy, Александр Борисович Жеглов, Alexander Borisovich Zheglov, Юрий Геннадьевич Зархин, Yuri G. Zarhin, Юрий Валентинович Нестеренко, Yuri Valentinovich Nesterenko, Дмитрий Олегович Орлов, Dmitri Olegovich Orlov, Денис Васильевич Осипов, Denis Vasilievich Osipov, Vladimir L. Popov, Vladimir L. Popov, Армен Глебович Сергеев, Армен Глебович Сергеев, Igor R. Shafarevich, Igor R. Shafarevich,
Tópico(s): Geometry and complex manifolds
2013 - IOP Publishing | Успехи математических наук
Yuri Valentinovich Nesterenko, Patrice Philippon,
In this Chapter we describe some results in the metric theory of transcendental numbers. Let begin with some notation. If P ∈ Z[x[inl, ⋯, x m] is a non - zero polynomial, we define its size t(P) as h(P) + deg (P). Here, h(P) is the Weil's logarithmic height of P (so, if the ged of the coefficients of P is 1, then h(P) is the logarithm of the maximum module of the coefficients of P) and deg (P) is the total degree of P. Let α = (α1,⋯, αm) ∈ Cm with α1,⋯, αm algebraically dependent: we define t(α) as the minimum size ...
Tópico(s): advanced mathematical theories
2001 - Springer Nature | Lecture notes in mathematics
Yuri Valentinovich Nesterenko, Maxim Nesterenko, Н. В. Соломатин, Alexander Khalin, Stanislav Fedyunin,
Tópico(s): Ecology and biodiversity studies
2023 - American Institute of Physics | AIP conference proceedings
Yuri Valentinovich Nesterenko, Maxim Nesterenko, Н. В. Соломатин, Vasily Meshcherin,
The water resources of the Southern Urals are considered. The influence of the level of provision with water resources on the formation of bioresources, society and economy has been revealed. The necessity of increasing the construction of reservoirs in its basin is substantiated. The results of the study are aimed at improving the efficiency of the use of water resources by nature, in society and the economy in the Ural River basin.
Tópico(s): Ecology and biodiversity studies
2023 - EDP Sciences | E3S Web of Conferences
Валерий Васильевич Козлов, Валерий Васильевич Козлов, Олег Боpисович Лупанов, O. B. Lupanov, Юрий Валентинович Нестеренко, Yuri Valentinovich Nesterenko, М. К. Потапов, М. К. Потапов, В. А. Садовничий, В. А. Садовничий, Петр Лаврентьевич Ульянов, P L Ul'yanov,
2006 - IOP Publishing | Успехи математических наук