## Chudnovsky, Gregory V.

Compute Distance To:
 Author ID: chudnovsky.gregory-v Published as: Chudnovsky, G. V.; Chudnovsky, Gregory V.; Chudnovskij, G. V.; Choodnovsky, Gregory V.; Chudnovs’kij, G. V.; Chudnovsky, Gregory; Choodnovsky, G. V.; Chudnovsky, G. more...less Homepage: https://engineering.nyu.edu/faculty/gregory-chudnovsky External Links: Wikidata · GND · IdRef
 Documents Indexed: 104 Publications since 1968, including 1 Book 11 Contributions as Editor Biographic References: 1 Publication Co-Authors: 8 Co-Authors with 68 Joint Publications 129 Co-Co-Authors
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### Co-Authors

 47 single-authored 66 Chudnovsky, David V. 7 Nathanson, Melvyn Bernard 5 Cohn, Harvey 2 Choodnovsky, David V. 1 Antonovskii, Mikhail Ya 1 Czarkowski, Dariusz 1 Hewitt, Edwin 1 Selesnick, Ivan W.
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### Serials

 12 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 11 Proceedings of the National Academy of Sciences of the United States of America 5 Soviet Mathematics. Doklady 5 Lecture Notes in Mathematics 3 Proceedings of the Japan Academy. Series A 3 Journal of Complexity 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Studia Scientiarum Mathematicarum Hungarica 2 Advances in Applied Mathematics 2 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Annals of Mathematics. Second Series 2 Lecture Notes in Pure and Applied Mathematics 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Algebra and Logic 1 Algebra i Logika 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Topology 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Acta Applicandae Mathematicae 1 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Lettere al Nuovo Cimento. Series 2 1 Mathematical Surveys and Monographs
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### Fields

 71 Number theory (11-XX) 35 Approximations and expansions (41-XX) 28 Algebraic geometry (14-XX) 23 Ordinary differential equations (34-XX) 15 Field theory and polynomials (12-XX) 13 Special functions (33-XX) 11 General and overarching topics; collections (00-XX) 10 Functions of a complex variable (30-XX) 9 Mathematical logic and foundations (03-XX) 9 Computer science (68-XX) 8 Partial differential equations (35-XX) 7 Numerical analysis (65-XX) 7 Quantum theory (81-XX) 6 Commutative algebra (13-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of particles and systems (70-XX) 6 Information and communication theory, circuits (94-XX) 2 Topological groups, Lie groups (22-XX) 2 General topology (54-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

77 Publications have been cited 576 times in 475 Documents Cited by Year
Sequences of numbers generated by addition in formal groups and new primality and factorization tests. Zbl 0614.10004
Chudnovsky, D. V.; Chudnovsky, G. V.
1986
On the method of Thue-Siegel. Zbl 0518.10038
Chudnovsky, G. V.
1983
Algebraic complexities and algebraic curves over finite fields. Zbl 0668.68040
Chudnovsky, D. V.; Chudnovsky, G. V.
1988
Approximations and complex multiplication according to Ramanujan. Zbl 0647.10002
Chudnovsky, D. V.; Chudnovsky, G. V.
1988
Contributions to the theory of transcendental numbers. (”Portions of this Volume were translated from the Russian by G. A. Kandall”). Zbl 0594.10024
Chudnovsky, Gregory V.
1984
Applications of Padé approximations to diophantine inequalities in values of G-functions. Zbl 0561.10016
Chudnovsky, D. V.; Chudnovsky, G. V.
1985
On expansion of algebraic functions in power and Puiseux series. I. Zbl 0629.68038
Chudnovsky, D. V.; Chudnovsky, G. V.
1986
Padé approximations to the generalized hypergeometric functions. I. Zbl 0434.10023
Chudnovsky, G. V.
1979
On expansion of algebraic functions in power and Puiseux series. II. Zbl 0656.34003
Chudnovsky, D. V.; Chudnovsky, G. V.
1987
On applications of diophantine approximations. Zbl 0566.10029
Chudnovsky, G. V.
1984
Singular points on complex hypersurfaces and multidimensional Schwarz lemma. Zbl 0455.32004
Chudnovsky, G. V.
1981
Padé approximations to solutions of linear differential equations and applications to diophantine analysis. Zbl 0536.10029
Chudnovsky, D. V.; Chudnovsky, G. V.
1984
Applications of Padé approximations to the Grothendieck conjecture on linear differential equations. Zbl 0565.14010
Chudnovsky, D. V.; Chudnovsky, G. V.
1985
A new method for the investigation of arithmetical properties of analytic functions. Zbl 0408.10021
Choodnovsky, G. V.
1979
Padé and rational approximations to systems of functions and their arithmetic applications. Zbl 0536.10028
Chudnovsky, D. V.; Chudnovsky, G. V.
1984
Algebraic independence of the values of elliptic function at algebraic points. Elliptic analogue of the Lindemann-Weierstrass theorem. Zbl 0434.10024
Chudnovsky, G.
1980
Number theoretic applications of polynomials with rational coefficients defined by extremality conditions. Zbl 0547.10029
Chudnovsky, G. V.
1983
Padé approximations and Diophantine geometry. Zbl 0577.14034
Chudnovsky, D. V.; Chudnovsky, G. V.
1985
Transcendental methods and theta-functions. Zbl 0679.10026
Chudnovsky, D. V.; Chudnovsky, G. V.
1989
Algebraic complexities and algebraic curves over finite fields. Zbl 0644.68066
Chudnovsky, D. V.; Chudnovsky, G. V.
1987
On some applications of diophantine approximations. Zbl 0544.10034
Chudnovsky, G. V.
1984
Bäcklund transformations connecting different isospectral deformation equations. Zbl 0502.58033
Chudnovsky, D. V.; Chudnovsky, G. V.
1981
Padé approximation and the Riemann monodromy problem. Zbl 0437.41012
Chudnovsky, G. V.
1980
Rational and Padé approximations to solutions of linear differential equations and the monodromy theory. Zbl 0457.34003
Chudnovsky, G. V.
1980
Combinatorial properties of compact cardinals. Zbl 0324.02066
Choodnovsky, G. V.
1975
The computation of classical constants. Zbl 0683.65008
Chudnovsky, D. V.; Chudnovsky, G. V.
1989
Hermite-Padé approximations to exponential functions and elementary estimates of the measure of irrationality of pi. Zbl 0518.41014
Chudnovsky, G. V.
1982
Approximations rationnelles des logarithmes de nombres rationnels. Zbl 0408.10019
Choodnovsky, Gregory V.
1979
Explicit continued fractions and quantum gravity. Zbl 0816.58022
Chudnovsky, D. V.; Chudnovsky, G. V.
1994
Computer algebra in the service of mathematical physics and number theory. Zbl 0712.11078
Chudnovsky, David V.; Chudnovsky, Gregory V.
1990
Measures of irrationality, transcendence and algebraic independence. Recent progress. Zbl 0489.10027
Chudnovsky, G. V.
1982
Laws of composition of Bäcklund transformations and the universal form of completely integrable systems in dimensions two and three. Zbl 0514.35084
Chudnovsky, D. V.; Chudnovsky, G. V.
1983
Rings of real-valued continuous functions. II. Zbl 0432.03030
Antonovskij, Mikhail Y.; Chudnovsky, David V.; Chudnovsky, Gregory V.; Hewitt, Edwin
1981
Solving the optimal PWM problem for single-phase inverters. Zbl 1368.94183
Czarkowski, Dariusz; Chudnovsky, David V.; Chudnovsky, Gregory V.; Selesnick, Ivan W.
2002
Hypergeometric and modular function identities, and new rational approximations to and continued fraction expansions of classical constants and functions. Zbl 0792.11020
Chudnovsky, D. V.; Chudnovsky, G. V.
1993
Algebraic independence of constants connected with exponential and elliptic functions. Zbl 0337.10024
Chudnovs’kij, G. V.
1976
Rational approximations to solutions of linear differential equations. Zbl 0516.12019
Chudnovsky, D. V.; Chudnovsky, G. V.
1983
Formules d’Hermite pour les approximants de Padé de logarithmes et de fonctions binomes, et mesures d’irrationalite. Zbl 0418.41011
Choodnovsky, Gregory V.
1979
Computer assisted number theory with applications. Zbl 0617.10001
Chudnovsky, D. V.; Chudnovsky, G. V.
1987
Elliptic modular functions and elliptic genera. Zbl 0653.57015
Chudnovsky, D. V.; Chudnovsky, G. V.
1988
Elliptic formal groups over $${\mathbb{Z}}$$ and $${\mathbb{F}}_ p$$ in applications to number theory, computer science and topology. Zbl 0657.14025
Chudnovsky, D. V.; Chudnovsky, G. V.
1988
Computational problems in arithmetic of linear differential equations. Some diophantine applications. Zbl 0688.10033
Chudnovsky, D. V.; Chudnovsky, G. V.
1989
Remark on the nature of the spectrum of the Lame equation. A problem from transcendence theory. Zbl 0502.10017
Chudnovsky, D. V.; Chudnovsky, G. V.
1980
Bäcklund transformations for linear differential equations and Padé approximations. I. Zbl 0506.35086
Chudnovsky, D. V.; Chudnovsky, G. V.
1982
Thue-Siegel-Roth theorem for values of algebraic functions. Zbl 0518.10037
Chudnovsky, G. V.
1983
Use of computer algebra for diophantine and differential equations. Zbl 0685.10024
Chudnovsky, David V.; Chudnovsky, Gregory V.
1989
Approximations de Padé explicites pour les solutions, des équations différentielles linéaires fuchsiennes. Zbl 0424.41014
Chudnovsky, Gregory V.
1980
Algebraic independence of values of exponential and elliptic functions. Zbl 0431.10019
Chudnovsky, G. V.
1980
The Bäcklund transformation for isomonodromy deformation Schlesinger equations. Zbl 0455.35098
Chudnovsky, D. V.; Chudnovsky, G. V.
1980
Some results in the theory of infinitely long expressions. Zbl 0315.02016
Chudnovskij, G. V.
1968
Generalized hypergeometric functions. – Classification of identities and explicit rational approximations. Zbl 0943.33004
Chudnovsky, D. V.; Chudnovsky, G. V.
1999
The Grothendieck conjecture and Padé approximations. Zbl 0574.12022
Chudnovsky, D. V.; Chudnovsky, G. V.
1985
Classification of hypergeometric identities for $$\pi$$ and other logarithms of algebraic numbers. Zbl 0966.11050
Chudnovsky, D. V.; Chudnovsky, G. V.
1998
The Riemann problem, complete integrability and arithmetic applications. Proceedings of a Seminar Held at the Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France, and at Columbia University, New York, USA, 1979-1980. Zbl 0477.00009
1982
Une classe de systèmes mécaniques completement intégrables lies aux équations de Korteweg-de Vries et de Schrödinger. Zbl 0371.35016
Choodnovsky, David V.; Choodnovsky, Gregory V.
1978
Sur la construction de Rees et Nagata pour le $$14^e$$ problème de Hilbert. Zbl 0385.14017
Choodnovsky, Gregory V.
1978
Values of meromorphic functions of order 2. Zbl 0396.10022
Choodnovsky, Gregory V.
1978
Problèmes des valeurs propres méromorphes, interpretation des pôles et problème avec nombreuses particules pour équations non linéaires. Zbl 0399.35003
Choodnovsky, David V.; Choodnovsky, Gregory V.
1978
Transcendental numbers. Zbl 0418.10031
Chudnovsky, G. V.
1979
Algebraic grounds for the proof of algebraic independence. How to obtain measure of algebraic independence using elementary methods. I: Elementary algebra. Zbl 0446.10025
Chudnovsky, G. V.
1981
Independance algébrique dans la méthode de Gelfond-Schneider. Zbl 0456.10016
Chudnovsky, Gregory V.
1980
Algebraic independence of some values of the exponential function. Zbl 0295.10027
Chudnovskij, G. V.
1974
Regular and descending incomplete ultrafilters. Zbl 0299.02085
Chudnovskij, G. V.; Chudnovskij, D. V.
1971
Approximation methods in transcendental function computations and some physical applications. Zbl 0857.65024
Chudnovsky, D. V.; Chudnovsky, G. V.
1996
Solution of the pulse width modulation problem using orthogonal polynomials and Korteweg-de Vries equations. Zbl 0980.94001
Chudnovsky, D. V.; Chudnovsky, G. V.
1999
Parallel computations and complex analytic approximations: From diophantine approximations to quantum mechanics. Zbl 0836.65024
Chudnovsky, D. V.; Chudnovsky, G. V.
1995
Classical constants and functions: Computations and continued fraction expansions. Zbl 0743.11072
Chudnovsky, D. V.; Chudnovsky, G. V.
1991
A random walk in higher arithmetic. Zbl 0607.10027
Chudnovsky, D. V.; Chudnovsky, G. V.
1986
Solution of the pulse width modulation problem using orthogonal polynomials and Korteweg-de Vries equations. Zbl 0972.94004
Chudnovsky, D. V.; Chudnovsky, G. V.
1999
Search theory. Some recent developments. Zbl 0686.00020
1989
Number theory. A seminar held at the Graduate School and University Center of the City University of New York 1985-88. Zbl 0674.00007
1989
Recurrences, Padé approximations and their applications. Zbl 0569.41014
Chudnovsky, David V.; Chudnovsky, Gregory V.
1984
The Gel’fond-Baker method in problems of Diophantine approximation. Zbl 0337.10023
Chudnovs’kij, G. V.
1976
Degres de sous-variétés contenant des ”cubes” de groupes algébriques. Zbl 0497.14023
Chudnovsky, Gregory V.
1980
Rational approximations to linear forms of exponentials and binomials. Zbl 0511.10027
Chudnovsky, G. V.
1983
Multidimensional Hermite interpolation and Padé approximation. Zbl 0511.41018
Chudnovsky, D. V.; Chudnovsky, G. V.
1982
Number theory. A seminar held at the Graduate School and University Center of the City University of New York 1982. Zbl 0523.00002
1984
Solving the optimal PWM problem for single-phase inverters. Zbl 1368.94183
Czarkowski, Dariusz; Chudnovsky, David V.; Chudnovsky, Gregory V.; Selesnick, Ivan W.
2002
Generalized hypergeometric functions. – Classification of identities and explicit rational approximations. Zbl 0943.33004
Chudnovsky, D. V.; Chudnovsky, G. V.
1999
Solution of the pulse width modulation problem using orthogonal polynomials and Korteweg-de Vries equations. Zbl 0980.94001
Chudnovsky, D. V.; Chudnovsky, G. V.
1999
Solution of the pulse width modulation problem using orthogonal polynomials and Korteweg-de Vries equations. Zbl 0972.94004
Chudnovsky, D. V.; Chudnovsky, G. V.
1999
Classification of hypergeometric identities for $$\pi$$ and other logarithms of algebraic numbers. Zbl 0966.11050
Chudnovsky, D. V.; Chudnovsky, G. V.
1998
Approximation methods in transcendental function computations and some physical applications. Zbl 0857.65024
Chudnovsky, D. V.; Chudnovsky, G. V.
1996
Parallel computations and complex analytic approximations: From diophantine approximations to quantum mechanics. Zbl 0836.65024
Chudnovsky, D. V.; Chudnovsky, G. V.
1995
Explicit continued fractions and quantum gravity. Zbl 0816.58022
Chudnovsky, D. V.; Chudnovsky, G. V.
1994
Hypergeometric and modular function identities, and new rational approximations to and continued fraction expansions of classical constants and functions. Zbl 0792.11020
Chudnovsky, D. V.; Chudnovsky, G. V.
1993
Classical constants and functions: Computations and continued fraction expansions. Zbl 0743.11072
Chudnovsky, D. V.; Chudnovsky, G. V.
1991
Computer algebra in the service of mathematical physics and number theory. Zbl 0712.11078
Chudnovsky, David V.; Chudnovsky, Gregory V.
1990
Transcendental methods and theta-functions. Zbl 0679.10026
Chudnovsky, D. V.; Chudnovsky, G. V.
1989
The computation of classical constants. Zbl 0683.65008
Chudnovsky, D. V.; Chudnovsky, G. V.
1989
Computational problems in arithmetic of linear differential equations. Some diophantine applications. Zbl 0688.10033
Chudnovsky, D. V.; Chudnovsky, G. V.
1989
Use of computer algebra for diophantine and differential equations. Zbl 0685.10024
Chudnovsky, David V.; Chudnovsky, Gregory V.
1989
Search theory. Some recent developments. Zbl 0686.00020
1989
Number theory. A seminar held at the Graduate School and University Center of the City University of New York 1985-88. Zbl 0674.00007
1989
Algebraic complexities and algebraic curves over finite fields. Zbl 0668.68040
Chudnovsky, D. V.; Chudnovsky, G. V.
1988
Approximations and complex multiplication according to Ramanujan. Zbl 0647.10002
Chudnovsky, D. V.; Chudnovsky, G. V.
1988
Elliptic modular functions and elliptic genera. Zbl 0653.57015
Chudnovsky, D. V.; Chudnovsky, G. V.
1988
Elliptic formal groups over $${\mathbb{Z}}$$ and $${\mathbb{F}}_ p$$ in applications to number theory, computer science and topology. Zbl 0657.14025
Chudnovsky, D. V.; Chudnovsky, G. V.
1988
On expansion of algebraic functions in power and Puiseux series. II. Zbl 0656.34003
Chudnovsky, D. V.; Chudnovsky, G. V.
1987
Algebraic complexities and algebraic curves over finite fields. Zbl 0644.68066
Chudnovsky, D. V.; Chudnovsky, G. V.
1987
Computer assisted number theory with applications. Zbl 0617.10001
Chudnovsky, D. V.; Chudnovsky, G. V.
1987
Sequences of numbers generated by addition in formal groups and new primality and factorization tests. Zbl 0614.10004
Chudnovsky, D. V.; Chudnovsky, G. V.
1986
On expansion of algebraic functions in power and Puiseux series. I. Zbl 0629.68038
Chudnovsky, D. V.; Chudnovsky, G. V.
1986
A random walk in higher arithmetic. Zbl 0607.10027
Chudnovsky, D. V.; Chudnovsky, G. V.
1986
Applications of Padé approximations to diophantine inequalities in values of G-functions. Zbl 0561.10016
Chudnovsky, D. V.; Chudnovsky, G. V.
1985
Applications of Padé approximations to the Grothendieck conjecture on linear differential equations. Zbl 0565.14010
Chudnovsky, D. V.; Chudnovsky, G. V.
1985
Padé approximations and Diophantine geometry. Zbl 0577.14034
Chudnovsky, D. V.; Chudnovsky, G. V.
1985
The Grothendieck conjecture and Padé approximations. Zbl 0574.12022
Chudnovsky, D. V.; Chudnovsky, G. V.
1985
Contributions to the theory of transcendental numbers. (”Portions of this Volume were translated from the Russian by G. A. Kandall”). Zbl 0594.10024
Chudnovsky, Gregory V.
1984
On applications of diophantine approximations. Zbl 0566.10029
Chudnovsky, G. V.
1984
Padé approximations to solutions of linear differential equations and applications to diophantine analysis. Zbl 0536.10029
Chudnovsky, D. V.; Chudnovsky, G. V.
1984
Padé and rational approximations to systems of functions and their arithmetic applications. Zbl 0536.10028
Chudnovsky, D. V.; Chudnovsky, G. V.
1984
On some applications of diophantine approximations. Zbl 0544.10034
Chudnovsky, G. V.
1984
Recurrences, Padé approximations and their applications. Zbl 0569.41014
Chudnovsky, David V.; Chudnovsky, Gregory V.
1984
Number theory. A seminar held at the Graduate School and University Center of the City University of New York 1982. Zbl 0523.00002
1984
On the method of Thue-Siegel. Zbl 0518.10038
Chudnovsky, G. V.
1983
Number theoretic applications of polynomials with rational coefficients defined by extremality conditions. Zbl 0547.10029
Chudnovsky, G. V.
1983
Laws of composition of Bäcklund transformations and the universal form of completely integrable systems in dimensions two and three. Zbl 0514.35084
Chudnovsky, D. V.; Chudnovsky, G. V.
1983
Rational approximations to solutions of linear differential equations. Zbl 0516.12019
Chudnovsky, D. V.; Chudnovsky, G. V.
1983
Thue-Siegel-Roth theorem for values of algebraic functions. Zbl 0518.10037
Chudnovsky, G. V.
1983
Rational approximations to linear forms of exponentials and binomials. Zbl 0511.10027
Chudnovsky, G. V.
1983
Hermite-Padé approximations to exponential functions and elementary estimates of the measure of irrationality of pi. Zbl 0518.41014
Chudnovsky, G. V.
1982
Measures of irrationality, transcendence and algebraic independence. Recent progress. Zbl 0489.10027
Chudnovsky, G. V.
1982
Bäcklund transformations for linear differential equations and Padé approximations. I. Zbl 0506.35086
Chudnovsky, D. V.; Chudnovsky, G. V.
1982
The Riemann problem, complete integrability and arithmetic applications. Proceedings of a Seminar Held at the Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France, and at Columbia University, New York, USA, 1979-1980. Zbl 0477.00009
1982
Multidimensional Hermite interpolation and Padé approximation. Zbl 0511.41018
Chudnovsky, D. V.; Chudnovsky, G. V.
1982
Singular points on complex hypersurfaces and multidimensional Schwarz lemma. Zbl 0455.32004
Chudnovsky, G. V.
1981
Bäcklund transformations connecting different isospectral deformation equations. Zbl 0502.58033
Chudnovsky, D. V.; Chudnovsky, G. V.
1981
Rings of real-valued continuous functions. II. Zbl 0432.03030
Antonovskij, Mikhail Y.; Chudnovsky, David V.; Chudnovsky, Gregory V.; Hewitt, Edwin
1981
Algebraic grounds for the proof of algebraic independence. How to obtain measure of algebraic independence using elementary methods. I: Elementary algebra. Zbl 0446.10025
Chudnovsky, G. V.
1981
Algebraic independence of the values of elliptic function at algebraic points. Elliptic analogue of the Lindemann-Weierstrass theorem. Zbl 0434.10024
Chudnovsky, G.
1980
Padé approximation and the Riemann monodromy problem. Zbl 0437.41012
Chudnovsky, G. V.
1980
Rational and Padé approximations to solutions of linear differential equations and the monodromy theory. Zbl 0457.34003
Chudnovsky, G. V.
1980
Remark on the nature of the spectrum of the Lame equation. A problem from transcendence theory. Zbl 0502.10017
Chudnovsky, D. V.; Chudnovsky, G. V.
1980
Approximations de Padé explicites pour les solutions, des équations différentielles linéaires fuchsiennes. Zbl 0424.41014
Chudnovsky, Gregory V.
1980
Algebraic independence of values of exponential and elliptic functions. Zbl 0431.10019
Chudnovsky, G. V.
1980
The Bäcklund transformation for isomonodromy deformation Schlesinger equations. Zbl 0455.35098
Chudnovsky, D. V.; Chudnovsky, G. V.
1980
Independance algébrique dans la méthode de Gelfond-Schneider. Zbl 0456.10016
Chudnovsky, Gregory V.
1980
Degres de sous-variétés contenant des ”cubes” de groupes algébriques. Zbl 0497.14023
Chudnovsky, Gregory V.
1980
Padé approximations to the generalized hypergeometric functions. I. Zbl 0434.10023
Chudnovsky, G. V.
1979
A new method for the investigation of arithmetical properties of analytic functions. Zbl 0408.10021
Choodnovsky, G. V.
1979
Approximations rationnelles des logarithmes de nombres rationnels. Zbl 0408.10019
Choodnovsky, Gregory V.
1979
Formules d’Hermite pour les approximants de Padé de logarithmes et de fonctions binomes, et mesures d’irrationalite. Zbl 0418.41011
Choodnovsky, Gregory V.
1979
Transcendental numbers. Zbl 0418.10031
Chudnovsky, G. V.
1979
Une classe de systèmes mécaniques completement intégrables lies aux équations de Korteweg-de Vries et de Schrödinger. Zbl 0371.35016
Choodnovsky, David V.; Choodnovsky, Gregory V.
1978
Sur la construction de Rees et Nagata pour le $$14^e$$ problème de Hilbert. Zbl 0385.14017
Choodnovsky, Gregory V.
1978
Values of meromorphic functions of order 2. Zbl 0396.10022
Choodnovsky, Gregory V.
1978
Problèmes des valeurs propres méromorphes, interpretation des pôles et problème avec nombreuses particules pour équations non linéaires. Zbl 0399.35003
Choodnovsky, David V.; Choodnovsky, Gregory V.
1978
Algebraic independence of constants connected with exponential and elliptic functions. Zbl 0337.10024
Chudnovs&rsquo;kij, G. V.
1976
The Gel’fond-Baker method in problems of Diophantine approximation. Zbl 0337.10023
Chudnovs&rsquo;kij, G. V.
1976
Combinatorial properties of compact cardinals. Zbl 0324.02066
Choodnovsky, G. V.
1975
Algebraic independence of some values of the exponential function. Zbl 0295.10027
Chudnovskij, G. V.
1974
Regular and descending incomplete ultrafilters. Zbl 0299.02085
Chudnovskij, G. V.; Chudnovskij, D. V.
1971
Some results in the theory of infinitely long expressions. Zbl 0315.02016
Chudnovskij, G. V.
1968
all top 5

### Cited by 545 Authors

 17 Ballet, Stéphane 9 Chudnovsky, Gregory V. 8 Borwein, Peter Benjamin 8 Chirskiĭ, Vladimir Grigor’evich 8 Rivoal, Tanguy 8 Zudilin, Wadim 7 Bonnecaze, Alexis 6 Bennett, Michael A. 6 Bugeaud, Yann 6 Chudnovsky, David V. 6 Ivankov, Pavel Leonidovich 6 Randriambololona, Hugues 5 Bertrand, Daniel 5 Costello, Craig 5 Harbourne, Brian 5 Hessami Pilehrood, Tatiana 5 Pieltant, Julia 5 Wakabayashi, Isao 5 Wüstholz, Gisbert 4 Dumnicki, Marcin 4 Everest, Graham Robert 4 Hata, Masayoshi 4 Hessami Pilehrood, Khodabakhsh 4 Hisil, Huseyin 4 Huttner, Marc 4 Masser, David William 4 Rolland, Robert 4 Salvy, Bruno 4 Voutier, Paul M. 4 Waldschmidt, Michel 4 Wu, Hongfeng 3 Amoroso, Francesco Antonio 3 Amou, Masaaki 3 Aptekarev, Alexander Ivanovich 3 Baruah, Nayandeep Deka 3 Berndt, Bruce Carl 3 Bombieri, Enrico 3 Bostan, Alin 3 Brent, Richard Peirce 3 Chan, Heng Huat 3 Chu, Wenchang 3 Feng, Rongquan 3 Fischler, Stéphane 3 Fouotsa, Emmanuel 3 Garoufalidis, Stavros 3 Gaudry, Pierrick 3 Guillera, Jesús 3 Kawashima, Makoto 3 Kholyavka, Yaroslav M. 3 Krichever, Igor’ Moiseevich 3 Masoero, Davide 3 Matala-aho, Tapani 3 Morain, François 3 Nagata, Makoto 3 Nuttall, John 3 Philippon, Patrice 3 Roques, Julien 3 Roy, Damien 3 Schost, Éric 3 Shokrollahi, Mohammad Amin 3 Singer, Michael F. 3 Stavrou, Stavros Georgios 3 Szemberg, Tomasz 3 Tukumuli, Mila 3 Tutaj-Gasińska, Halszka 3 Wang, Tongke 3 Yuan, Pingzhi 3 Zannier, Umberto M. 3 Zhang, Zhiyue 2 Ait-Haddou, Rachid 2 Akhtari, Shabnam 2 Atighehchi, Kévin 2 Baudru, Nicolas 2 Bernstein, Daniel Julius 2 Berthomieu, Jérémy 2 Beukers, Frits 2 Brezhnev, Yurii V. 2 Cantor, David Geoffrey 2 Carter, Gary 2 Cenk, Murat 2 Chaumine, Jean 2 Chen, Imin 2 Cooper, Shaun 2 Cooper, Susan Marie 2 Couveignes, Jean-Marc 2 David, Sinnou 2 Dawson, Edward 2 Deines-Schartz, Alyson 2 Diao, Oumar 2 Dubickas, Artūras 2 Ezome, Tony 2 Farashahi, Reza Rezaeian 2 Flammang, Valérie 2 Gashkov, Sergey B. 2 Gaudron, Éric 2 Gesztesy, Fritz 2 Glebov, Gleb 2 Gordoa, Pilar Ruiz 2 Gramain, Francois 2 Guardo, Elena ...and 445 more Authors
all top 5

### Cited in 165 Serials

 33 Journal of Number Theory 20 Mathematics of Computation 16 Journal of Symbolic Computation 15 Mathematical Notes 13 Journal de Théorie des Nombres de Bordeaux 12 The Ramanujan Journal 10 Annales de l’Institut Fourier 8 Inventiones Mathematicae 8 Journal of Approximation Theory 8 Journal of Pure and Applied Algebra 7 Communications in Mathematical Physics 7 Journal of Computational and Applied Mathematics 7 Proceedings of the American Mathematical Society 6 Theoretical Computer Science 6 Transactions of the American Mathematical Society 6 Journal of Complexity 5 Israel Journal of Mathematics 5 Applied Mathematics and Computation 5 Journal of Algebra 5 Journal für die Reine und Angewandte Mathematik 5 Journal of Mathematical Sciences (New York) 5 Finite Fields and their Applications 4 Bulletin of the Australian Mathematical Society 4 Advances in Mathematics 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Journal of Differential Equations 4 Journal of Soviet Mathematics 4 Manuscripta Mathematica 4 Mathematische Zeitschrift 4 Proceedings of the Japan Academy. Series A 4 Advances in Applied Mathematics 4 Constructive Approximation 4 Journal of Cryptology 4 Designs, Codes and Cryptography 4 Numerical Algorithms 4 Indagationes Mathematicae. New Series 4 Applicable Algebra in Engineering, Communication and Computing 4 Russian Journal of Mathematical Physics 4 Doklady Mathematics 4 LMS Journal of Computation and Mathematics 3 Information Processing Letters 3 Journal of Mathematical Analysis and Applications 3 Linear and Multilinear Algebra 3 Mathematische Annalen 3 Acta Applicandae Mathematicae 3 Experimental Mathematics 3 Journal of the Australian Mathematical Society 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 International Journal of Number Theory 3 Chebyshevskiĭ Sbornik 3 Journal of Mathematical Cryptology 2 Letters in Mathematical Physics 2 Lithuanian Mathematical Journal 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Bulletin de la Société Mathématique de France 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Functiones et Approximatio. Commentarii Mathematici 2 Mathematika 2 Physica D 2 Linear Algebra and its Applications 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Expositiones Mathematicae 2 Computational Complexity 2 Abstract and Applied Analysis 2 Journal of High Energy Physics 2 Annales Henri Poincaré 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Proceedings of the Steklov Institute of Mathematics 2 Science China. Mathematics 2 Moscow Journal of Combinatorics and Number Theory 2 Carpathian Mathematical Publications 1 International Journal of Modern Physics B 1 Acta Informatica 1 Communications in Algebra 1 Computers and Fluids 1 Communications on Pure and Applied Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematische Semesterberichte 1 Russian Mathematical Surveys 1 Chaos, Solitons and Fractals 1 Acta Arithmetica 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Functional Analysis and its Applications 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Notre Dame Journal of Formal Logic 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Studies in Applied Mathematics ...and 65 more Serials
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### Cited in 47 Fields

 277 Number theory (11-XX) 106 Algebraic geometry (14-XX) 83 Special functions (33-XX) 50 Computer science (68-XX) 38 Approximations and expansions (41-XX) 36 Ordinary differential equations (34-XX) 34 Field theory and polynomials (12-XX) 32 Information and communication theory, circuits (94-XX) 29 Functions of a complex variable (30-XX) 29 Numerical analysis (65-XX) 24 Commutative algebra (13-XX) 23 Partial differential equations (35-XX) 15 Dynamical systems and ergodic theory (37-XX) 10 Combinatorics (05-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Quantum theory (81-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Mathematical logic and foundations (03-XX) 6 Real functions (26-XX) 6 Sequences, series, summability (40-XX) 5 Manifolds and cell complexes (57-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Difference and functional equations (39-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 2 Associative rings and algebras (16-XX) 2 Potential theory (31-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX)

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