MR2044512 (2005f:41023) Chudnovsky, David V.; Chudnovsky, Gregory V. Use of Padé approximations in spline construction. Number theory (New York, 2003), 61--86, Springer, New York, 2004. (Reviewer: Christian Coatmélec) 41A15 (41A21 65D07)

MR2044511 (2005b:94007) Chudnovsky, David V.; Chudnovsky, Gregory V. One bit world. Number theory (New York, 2003), 25--60, Springer, New York, 2004. (Reviewer: Robert M. Gray) 94A12 (94A40)

MR2040025 (2004j:11003) Number theory. New York Seminar 2003. Papers from the seminar (NYNTS) held at the City University of New York, New York, 2003. Edited by David Chudnovsky, Gregory Chudnovsky and Melvyn Nathanson. Springer-Verlag, New York, 2004. viii+272 pp. ISBN: 0-387-40655-7 11-06

MR1911020 (2003f:94112) Czarkowski, Dariusz; Chudnovsky, David V.; Chudnovsky, Gregory V.; Selesnick, Ivan W. Solving the optimal PWM problem for single-phase inverters. IEEE Trans. Circuits Systems I Fund. Theory Appl. 49 (2002), no. 4, 465--475. (Reviewer: Nicola Guglielmi) 94C05 (41A21)

MR1726828 (2002f:11088) Chudnovsky, D. V.; Chudnovsky, G. V. Generalized hypergeometric functions---classification of identities and explicit rational approximations. Algebraic methods and $q$-special functions (Montréal, QC, 1996), 59--91, CRM Proc. Lecture Notes, 22, Amer. Math. Soc., Providence, RI, 1999. (Reviewer: Wadim Zudilin) 11J72 (33B30 33C20 41A20)

MR1713926 (2001b:94002) Chudnovsky, D. V.; Chudnovsky, G. V. Solution of the pulse width modulation problem using orthogonal polynomials and Korteweg-de Vries equations. Proc. Natl. Acad. Sci. USA 96 (1999), no. 22, 12263--12268 (electronic). (Reviewer: Kotik K. Lee) 94A11 (35Q53 94A14)

MR1691530 (2000f:11165) Chudnovsky, David V.; Chudnovsky, Gregory V. Chaos and deviation from uniform distribution: eigenfunction computation; applied modular arithmetic. Emerging applications of number theory (Minneapolis, MN, 1996), 143--174, IMA Vol. Math. Appl., 109, Springer, New York, 1999. (Reviewer: Igor E. Shparlinski) 11Z05 (68Q25)

MR1626646 (99g:11152) Chudnovsky, D. V.; Chudnovsky, G. V. Classification of hypergeometric identities for $\pi$ and other logarithms of algebraic numbers. Proc. Natl. Acad. Sci. USA 95 (1998), no. 6, 2744--2749 (electronic). (Reviewer: F. Beukers) 11Y60 (33C20)

MR1420200 (98d:11166) Chudnovsky, D. V.; Chudnovsky, G. V. Diophantine approximation problem arising from VLSI design. Number theory (New York, 1991--1995), 71--90, Springer, New York, 1996. (Reviewer: Igor E. Shparlinski) 11Y99 (11J71 68Q35)

MR1420199 (98c:65036) Chudnovsky, D. V.; Chudnovsky, G. V. Approximation methods in transcendental function computations and some physical applications. Number theory (New York, 1991--1995), 43--69, Springer, New York, 1996. 65E05 (11Y16)

MR1420195 (97e:11006) Number theory. Papers from the seminars held at the City University of New York, New York, 1991--1995. Edited by D. V. Chudnovsky, G. V. Chudnovsky and M. B. Nathanson. Springer-Verlag, New York, 1996. x+297 pp. ISBN: 0-387-94826-0 11-06

MR1303860 (95m:32032) Chudnovsky, D. V.; Chudnovsky, G. V. Explicit continued fractions and quantum gravity. Acta Appl. Math. 36 (1994), no. 1-2, 167--185. (Reviewer: V. A. Golubeva) 32G34 (30B70 33C90 58F07 81T40)

MR1210516 (94f:11063) Chudnovsky, D. V.; Chudnovsky, G. V. Hypergeometric and modular function identities, and new rational approximations to and continued fraction expansions of classical constants and functions. A tribute to Emil Grosswald: number theory and related analysis, 117--162, Contemp. Math., 143, Amer. Math. Soc., Providence, RI, 1993. (Reviewer: F. Beukers) 11J72 (11Y60 33C99)

MR1179424 (95k:68089) Jenks, Richard D.; Sutor, Robert S. AXIOM. The scientific computation system. With a foreword by David V. Chudnovsky and Gregory V. Chudnovsky. Numerical Algorithms Group, Ltd., Oxford; Springer-Verlag, New York, 1992. xxiv+742 pp. ISBN: 0-387-97855-0 (Reviewer: P. D. F. Ion) 68Q40 (68-04 68N15)

MR1165031 (93h:01047) Preston, Richard The mountains of pi. New Yorker 1992, March 2, 36--67. (Reviewer: A. A. Mullin) 01A70 (11Y55 11Y60)

MR1124634 (93c:11118) Chudnovsky, D. V.; Chudnovsky, G. V. Classical constants and functions: computations and continued fraction expansions. Number theory (New York, 1989/1990), 13--74, Springer, New York, 1991. 11Y60 (11-02 11A55 11Y65)

MR1124632 (92c:11001) Number theory. Papers from the seminar held at the City University of New York, New York, 1989--1990. Edited by D. V. Chudnovsky, G. V. Chudnovsky, H. Cohn and M. B. Nathanson. Springer-Verlag, New York, 1991. viii+275 pp. ISBN: 0-387-97670-1 11-06

MR1068536 (92g:11122) Chudnovsky, David V.; Chudnovsky, Gregory V. Computer algebra in the service of mathematical physics and number theory. Computers in mathematics (Stanford, CA, 1986), 109--232, Lecture Notes in Pure and Appl. Math., 125, Dekker, New York, 1990. 11Yxx (68Q40 81-04)

MR1023916 (91b:11083) Chudnovsky, D. V.; Chudnovsky, G. V. Computational problems in arithmetic of linear differential equations. Some Diophantine applications. Number theory (New York, 1985/1988), 12--49, Lecture Notes in Math., 1383, Springer, Berlin, 1989. (Reviewer: P. Bundschuh) 11J82 (11J70 11J91 11Y40 12H05)

MR1023914 (90h:11004) Number theory. Proceedings of the seminar held at the City University of New York, New York, 1985--1988. Edited by D. V. Chudnovsky, G. V. Chudnovsky, H. Cohn and M. B. Nathanson. Lecture Notes in Mathematics, 1383. Springer-Verlag, Berlin, 1989. vi+256 pp. ISBN: 3-540-51549-6 11-06

MR1021452 (90m:11206) Chudnovsky, D. V.; Chudnovsky, G. V. The computation of classical constants. Proc. Nat. Acad. Sci. U.S.A. 86 (1989), no. 21, 8178--8182. (Reviewer: F. Beukers) 11Y60 (11-04 11Y35 33A99)

MR1013173 (91e:11080) Chudnovsky, D. V.; Chudnovsky, G. V. Transcendental methods and theta-functions. Theta functions---Bowdoin 1987, Part 2 (Brunswick, ME, 1987), 167--232, Proc. Sympos. Pure Math., 49, Part 2, Amer. Math. Soc., Providence, RI, 1989. (Reviewer: F. Beukers) 11J82 (11J72 11J91 12H25)

MR1002976 (90e:11096) Chudnovsky, David V.; Chudnovsky, Gregory V. Use of computer algebra for Diophantine and differential equations. Computer algebra (New York, 1984), 1--81, Lecture Notes in Pure and Appl. Math., 113, Dekker, New York, 1989. (Reviewer: Maurice Mignotte) 11Jxx (11Dxx 11Yxx 33A30 41A21 68Q40)

MR0977566 Chudnovsky, David V.; Chudnovsky, Gregory V. Search plans generated by billiards. Search theory, 103--130, Lecture Notes in Pure and Appl. Math., 112, Dekker, New York, 1989. 90B40 (90D26)

MR0977561 (90i:90063) Search theory. Some recent developments. Edited by David V. Chudnovsky and Gregory V. Chudnovsky. Lecture Notes in Pure and Applied Mathematics, 112. Marcel Dekker, Inc., New York, 1989. xiv+155 pp. ISBN: 0-8247-8000-0 (Reviewer: P. Neumann) 90B40 (90D26)

MR0974928 (90g:11167) Chudnovsky, D. V.; Chudnovsky, G. V. Algebraic complexities and algebraic curves over finite fields. J. Complexity 4 (1988), no. 4, 285--316. (Reviewer: Jacques Wolfmann) 11T71 (11G20 14G15 68Q25 94B05)

MR0970280 Chudnovsky, D. V.; Chudnovsky, G. V. Elliptic formal groups over $Z$ and $F_p$ in applications to number theory, computer science and topology. Elliptic curves and modular forms in algebraic topology (Princeton, NJ, 1986), 11--54, Lecture Notes in Math., 1326, Springer, Berlin, 1988. 11Y16 (11G05 11S31 14L05)

MR0948179 (89h:57020) Chudnovsky, D. V.; Chudnovsky, G. V. Elliptic modular functions and elliptic genera. Topology 27 (1988), no. 2, 163--170. (Reviewer: P. S. Landweber) 57R20 (11F11)

MR0938975 (89f:11099) Chudnovsky, D. V.; Chudnovsky, G. V. Approximations and complex multiplication according to Ramanujan. Ramanujan revisited (Urbana-Champaign, Ill., 1987), 375--472, Academic Press, Boston, MA, 1988. (Reviewer: Maurice Mignotte) 11J81 (11F99 11G15 11J04 11J89)

MR0894503 (89a:11130) Chudnovsky, D. V.; Chudnovsky, G. V. Computer assisted number theory with applications. Number theory (New York, 1984--1985), 1--68, Lecture Notes in Math., 1240, Springer, Berlin, 1987. (Reviewer: Hale F. Trotter) 11Y16 (14-04 30-04 30B10 68Q40)

MR0894502 (87m:11004) Number theory. Proceedings of the seminar held at the City University of New York, New York, 1984--1985. Edited by D. V. Chudnovsky, G. V. Chudnovsky, H. Cohn and M. B. Nathanson. Lecture Notes in Mathematics, 1240. Springer-Verlag, Berlin, 1987. vi+324 pp. ISBN: 3-540-17669-1 11-06

MR0883165 (90d:68031b) Chudnovsky, D. V.; Chudnovsky, G. V. On expansion of algebraic functions in power and Puiseux series. II. J. Complexity 3 (1987), no. 1, 1--25. (Reviewer: John Todd) 68Q25 (11Q05 12-04 58F07 65D15)

MR0880838 (88d:11128) Chudnovsky, D. V.; Chudnovsky, G. V. Algebraic complexities and algebraic curves over finite fields. Proc. Nat. Acad. Sci. U.S.A. 84 (1987), no. 7, 1739--1743. (Reviewer: Jacques Calmet) 11T71 (11Y16 14G15 68Q20)

MR0923022 (90d:68031a) Chudnovsky, D. V.; Chudnovsky, G. V. On expansion of algebraic functions in power and Puiseux series. I. J. Complexity 2 (1986), no. 4, 271--294. (Reviewer: John Todd) 68Q25 (11Q05 12-04 58F07 65D15)

MR0866702 (88h:11094) Chudnovsky, D. V.; Chudnovsky, G. V. Sequences of numbers generated by addition in formal groups and new primality and factorization tests. Adv. in Appl. Math. 7 (1986), no. 4, 385--434. (Reviewer: Hale F. Trotter) 11Y11 (11G20 11Y05)

MR0834223 (87i:11140) Chudnovsky, D. V.; Chudnovsky, G. V. A random walk in higher arithmetic. Adv. in Appl. Math. 7 (1986), no. 1, 101--122. (Reviewer: D. W. Masser) 11Q10 (11J99 12H99 60J15)

MR0803350 (87d:11053) Chudnovsky, D. V.; Chudnovsky, G. V. Applications of Padé approximations to the Grothendieck conjecture on linear differential equations. Number theory (New York, 1983--84), 52--100, Lecture Notes in Math., 1135, Springer, Berlin, 1985. (Reviewer: Yves André) 11J99 (12H05 14D10)

MR0803349 (87a:11062) Chudnovsky, D. V.; Chudnovsky, G. V. Applications of Padé approximations to Diophantine inequalities in values of $G$-functions. Number theory (New York, 1983--84), 9--51, Lecture Notes in Math., 1135, Springer, Berlin, 1985. (Reviewer: W. W. Adams) 11J25 (11J87 11J91)

MR0803347 (86f:11004) Number theory. Proceedings of the seminar held at the City University of New York, New York, 1983--1984. Edited by D. V. Chudnovsky, G. V. Chudnovsky, H. Cohn and M. B. Nathanson. Lecture Notes in Mathematics, 1135. Springer-Verlag, Berlin, 1985. ii+283 pp. ISBN: 3-540-15649-6 11-06

MR0796474 (87a:12012) Chudnovsky, D. V.; Chudnovsky, G. V. The Grothendieck conjecture and Padé approximations. Proc. Japan Acad. Ser. A Math. Sci. 61 (1985), no. 3, 87--90. (Reviewer: F. Baldassarri) 12H25 (14D10)

MR0788857 (86h:11053) Chudnovsky, D. V.; Chudnovsky, G. V. Padé approximations and Diophantine geometry. Proc. Nat. Acad. Sci. U.S.A. 82 (1985), no. 8, 2212--2216. (Reviewer: Michel Laurent) 11J87 (14G10 14K15)

MR0811460 Chudnovsky, G. Bäcklund transformations and deformations of linear differential equations with applications to Diophantine approximations. Symmetries in particle physics (New Haven, Conn., 1981), 201--220, Consultants Bureau, New York, 1984. 58F37 (11J85 58F07)

MR0772038 (87b:11076) Vinogradov, A. I.; Chudnovsky, G. V. The proof of extremality of certain manifolds. Translated from the Russian by G. A. Kandall. Math. Surveys Monogr., 19, Contributions to the theory of transcendental numbers, 421--447, Amer. Math. Soc., Providence, RI, 1984. (Reviewer: R. C. Baker) 11K60

MR0772037 (87b:11058) Chudnovsky, Gregory V. Another method for investigating the arithmetic nature of values of functions of a complex variable. Translated from the Russian by G. A. Kandall. Math. Surveys Monogr., 19, Contributions to the theory of transcendental numbers, 383--420, Amer. Math. Soc., Providence, RI, 1984. (Reviewer: Daniel Bertrand) 11J81 (32A15)

MR0772036 (87b:11070) Chudnovsky, Gregory V. Measure of the algebraic independence of periods and quasiperiods of elliptic curves. Contributions to the theory of transcendental numbers, 355--382, Math. Surveys Monogr., 19, Amer. Math. Soc., Providence, RI, 1984. (Reviewer: D. W. Masser) 11J89

MR0772035 (87b:11056) Chudnovsky, Gregory V. Transcendences arising from exponential and elliptic functions. Contributions to the theory of transcendental numbers, 297--354, Math. Surveys Monogr., 19, Amer. Math. Soc., Providence, RI, 1984. (Reviewer: D. W. Masser) 11J72 (11J89)

MR0772034 (87b:11126) Chudnovsky, Gregory V. Some Diophantine problems. Translated from the Russian by G. A. Kandall. Math. Surveys Monogr., 19, Contributions to the theory of transcendental numbers, 265--295, Amer. Math. Soc., Providence, RI, 1984. (Reviewer: A. I. Vinogradov) 11U05 (11D99)

MR0772033 (87b:11057) Chudnovsky, Gregory V. Methods of the theory of transcendental numbers, Diophantine approximations and solutions of Diophantine equations. Contributions to the theory of transcendental numbers, 217--263, Math. Surveys Monogr., 19, Amer. Math. Soc., Providence, RI, 1984. (Reviewer: F. Beukers) 11J81 (11J68)

MR0772032 (87b:11064) Chudnovsky, Gregory V. Criteria of algebraic independence of several numbers. Contributions to the theory of transcendental numbers, 176--215, Math. Surveys Monogr., 19, Amer. Math. Soc., Providence, RI, 1984. (Reviewer: Michel Waldschmidt) 11J85

MR0772031 (87c:11062) Chudnovsky, Gregory V. On the way to Schanuel's conjecture. Translated from the Russian by G. A. Kandall. Math. Surveys Monogr., 19, Contributions to the theory of transcendental numbers, 145--176, Amer. Math. Soc., Providence, RI, 1984. (Reviewer: Éric Reyssat) 11J85

MR0772030 (87b:11063) Chudnovsky, Gregory V. Baker's method in the theory of transcendental numbers. Translated from the Russian by G. A. Kandall. Math. Surveys Monogr., 19, Contributions to the theory of transcendental numbers, 123--143, Amer. Math. Soc., Providence, RI, 1984. (Reviewer: Michel Waldschmidt) 11J85 (11J86)

MR0772029 (87b:11065) Chudnovsky, Gregory V. Some analytic methods in the theory of transcendental numbers. Translated from the Russian by G. A. Kandall. Math. Surveys Monogr., 19, Contributions to the theory of transcendental numbers, 27--122, Amer. Math. Soc., Providence, RI, 1984. (Reviewer: Michel Waldschmidt) 11J85

MR0772028 (87b:11062) Chudnovsky, Gregory V. Algebraic independence of values of exponential and elliptic functions. Contributions to the theory of transcendental numbers, 1--26, Math. Surveys Monogr., 19, Amer. Math. Soc., Providence, RI, 1984. (Reviewer: W. W. Adams) 11J85

MR0772027 (87a:11004) Chudnovsky, Gregory V. Contributions to the theory of transcendental numbers. Mathematical Surveys and Monographs, 19. American Mathematical Society, Providence, RI, 1984. xi+450 pp. ISBN: 0-8218-1500-8 11-06

MR0768160 (86f:11050) Chudnovsky, G. V. On applications of Diophantine approximations. Proc. Nat. Acad. Sci. U.S.A. 81 (1984), no. 22, Phys. Sci., 7261--7265. (Reviewer: D. W. Masser) 11J72 (11J85 11J91)

MR0756252 (86i:34011) Chudnovsky, David V.; Chudnovsky, Gregory V. Travaux de J. Drach (1919). Classical quantum models and arithmetic problems, 445--453, Lecture Notes in Pure and Appl. Math., 92, Dekker, New York, 1984. 34A25 (12H05 58F07)

MR0756246 (86c:11046) Chudnovsky, David V.; Chudnovsky, Gregory V. Recurrences, Padé approximations and their applications. Classical quantum models and arithmetic problems, 215--238, Lecture Notes in Pure and Appl. Math., 92, Dekker, New York, 1984. (Reviewer: Ming-Chit Liu) 11J17 (11J82 41A21)

MR0756245 (86j:58053) Chudnovsky, David V.; Chudnovsky, Gregory V. Some remarks on theta functions and $S$-matrices. Classical quantum models and arithmetic problems, 117--214, Lecture Notes in Pure and Appl. Math., 92, Dekker, New York, 1984. (Reviewer: Alexander A. Pankov) 58F07 (14K25 81F15 82A05 82A15)

MR0756244 (87b:58035) Chudnovsky, David V.; Chudnovsky, Gregory V. Note on Eisenstein's system of differential equations: an example of ``exactly solvable but not completely integrable system of differential equations''. Classical quantum models and arithmetic problems, 99--115, Lecture Notes in Pure and Appl. Math., 92, Dekker, New York, 1984. 58F07 (14H40 14K99)

MR0756241 (85g:58031) Classical and quantum models and arithmetic problems. Edited by David V. Chudnovsky and Gregory V. Chudnovsky. Lecture Notes in Pure and Applied Mathematics, 92. Marcel Dekker, Inc., New York, 1984. xi+461 pp. ISBN: 0-8247-1825-9 58Fxx (11Fxx 81Fxx)

MR0750663 (86j:11077) Chudnovsky, D. V.; Chudnovsky, G. V. Padé approximations to solutions of linear differential equations and applications to Diophantine analysis. Number theory (New York, 1982), 85--167, Lecture Notes in Math., 1052, Springer, Berlin, 1984. (Reviewer: W. W. Adams) 11J99 (11J89)

MR0750662 (86a:11029) Chudnovsky, D. V.; Chudnovsky, G. V. Padé and rational approximations to systems of functions and their arithmetic applications. Number theory (New York, 1982), 37--84, Lecture Notes in Math., 1052, Springer, Berlin, 1984. (Reviewer: Ming-Chit Liu) 11J99 (11J72 30E10)

MR0750659 (85g:11007) Number theory. Proceedings of the seminar held at the City University of New York, New York, 1982. Edited by D. V. Chudnovsky, G. V. Chudnovsky, H. Cohn and M. B. Nathanson. Lecture Notes in Mathematics, 1052. Springer-Verlag, Berlin, 1984. ii+309 pp. ISBN: 3-540-12909-X 11-06

MR0748895 (86i:11038) Chudnovsky, D. V.; Chudnovsky, G. V. The Wronskian formalism for linear differential equations and Padé approximations. Adv. in Math. 53 (1984), no. 1, 28--54. (Reviewer: W. W. Adams) 11J91 (11J99 34A30 41A21)

MR0714302 (84k:10026) Chudnovsky, D. V.; Chudnovsky, G. V. Rational approximations to solutions of linear differential equations. Proc. Nat. Acad. Sci. U.S.A. 80 (1983), no. 16 i., 5158--5162. 10F10 (10F45 12H05 34A45 41A20)

MR0718622 (86b:11050) Chudnovsky, G. V. The Thue\mhy Siegel\mhy Roth theorem for values of algebraic functions. Proc. Japan Acad. Ser. A Math. Sci. 59 (1983), no. 6, 281--284. 11J87

MR0718448 (85d:58089) Chudnovsky, D. V.; Chudnovsky, G. V.; Tabor, M. Painlevé property and multicomponent isospectral deformation equations. Phys. Lett. A 97 (1983), no. 7, 268--274. (Reviewer: I. S. Krasilʹshchik) 58G35 (35Q20 58F07)

MR0717590 (86c:11052) Chudnovsky, G. V. Number theoretic applications of polynomials with rational coefficients defined by extremality conditions. Arithmetic and geometry, Vol. I, 61--105, Progr. Math., 35, Birkhäuser Boston, Boston, MA, 1983. (Reviewer: W. W. Adams) 11J82 (11N05)

MR0690742 (84c:58033) Chudnovsky, D. V.; Chudnovsky, G. V. Algebraic reductions of scalar three-dimensional systems. Phys. Lett. A 93 (1983), no. 8, 371--374. 58F07 (58F37 70H05 81C05)

MR0703635 (85c:11055) Chudnovsky, G. V. Rational approximations to linear forms of exponentials and binomials. Proc. Nat. Acad. Sci. U.S.A. 80 (1983), no. 10, Phys. Sci., 3138--3141. (Reviewer: M. L. Robinson) 11J13 (11J68 11J91)

MR0699438 (85b:58114) Chudnovsky, D. V.; Chudnovsky, G. V. Laws of composition of Bäcklund transformations and the universal form of completely integrable systems in dimensions two and three. Proc. Nat. Acad. Sci. U.S.A. 80 (1983), no. 6, Phys. Sci., 1774--1777. 58F37 (35Q20 58G37)

MR0690849 (85g:11058) Chudnovsky, G. V. On the method of Thue\mhy Siegel. Ann. of Math. (2) 117 (1983), no. 2, 325--382. (Reviewer: M. Hottner (translated from Zbl 518:10038)) 11J82 (11D41 11J68)

MR0659854 (84i:14001) Chudnovsky, D. V.; Chudnovsky, G. V. Introduction. The Riemann problem, complete integrability and arithmetic applications (Bures-sur-Yvette/New York, 1979/1980), pp. 1--11, Lecture Notes in Math., 925, Springer, Berlin-New York, 1982. 14-03 (01A55 01A60 14D05 34-03 34A20 82A05)

MR0697257 (84h:10046) Chudnovsky, G. V. Measures of irrationality, transcendence and algebraic independence. Recent progress. Number theory days, 1980 (Exeter, 1980), 11--82, London Math. Soc. Lecture Note Ser., 56, Cambridge Univ. Press, Cambridge-New York, 1982. (Reviewer: F. Beukers) 10F35 (10F37)

MR0659874 (84h:14013) Chudnovsky, D. V.; Chudnovsky, G. V. Multidimensional Hermite interpolation and Padé approximation. The Riemann problem, complete integrability and arithmetic applications (Bures-sur-Yvette/New York, 1979/1980), pp. 271--298, Lecture Notes in Math., 925, Springer, Berlin-New York, 1982. (Reviewer: A. J. van der Poorten) 14D05 (10F35 41A21 81C30)

MR0694755 (84e:04002) Choodnowsky, G.; Wolfsdorf, K. A theorem on polarised partition relations for singular cardinals. Bull. Soc. Math. France 110 (1982), no. 4, 349--356. (Reviewer: N. H. Williams) 04A20 (03E05 03E55)

MR0659866 (84e:35130) Chudnovsky, D. V.; Chudnovsky, G. V.; Neveu, A. Classical and quantum operator nonlinear Schrödinger equation. I. The Riemann problem, complete integrability and arithmetic applications (Bures-sur-Yvette/New York, 1979/1980), pp. 157--177, Lecture Notes in Math., 925, Springer, Berlin-New York, 1982. (Reviewer: Woodford W. Zachary) 35Q20 (47H15 58F07 81C05 81E10)

MR0659864 (84c:58032) Chudnovsky, D. V.; Chudnovsky, G. V. Hamiltonian structure of isospectral deformation equations. Elliptic curve case. The Riemann problem, complete integrability and arithmetic applications (Bures-sur-Yvette/New York, 1979/1980), pp. 134--146, Lecture Notes in Math., 925, Springer, Berlin-New York, 1982. (Reviewer: Porter W. Johnson) 58F07 (81E10 81F15)

MR0664554 (84b:10051) Chudnovsky, G. V. Recurrences defining rational approximations to irrational numbers. Proc. Japan Acad. Ser. A Math. Sci. 58 (1982), no. 4, 129--133. (Reviewer: John H. Loxton) 10F35 (41A21)

MR0664339 (84a:58046) Chudnovsky, D. V.; Chudnovsky, G. V. Bäcklund transformations for linear differential equations and Padé approximations. I. J. Math. Pures Appl. (9) 61 (1982), no. 1, 1--16. (Reviewer: P. A. Kuchment) 58F07 (34A20 35Q20 58A15)

MR0681582 (83m:10049) Chudnovsky, Gregory V. Approximation rationnelles de certains irrationnels cubiques. (French) [Rational approximations to some cubic irrationalities] C. R. Acad. Sci. Paris Sér. I Math. 295 (1982), no. 3, 219--221. 10F05 (10F35)

MR0659875 (83m:10051) Chudnovsky, G. V. Hermite\mhy Padé approximations to exponential functions and elementary estimates of the measure of irrationality of $\pi $. The Riemann problem, complete integrability and arithmetic applications (Bures-sur-Yvette/New York, 1979/1980), pp. 299--322, Lecture Notes in Math., 925, Springer, Berlin-New York, 1982. (Reviewer: Daniel Bertrand) 10F20 (41A21)

MR0659876 (83i:10045) Chudnovsky, G. V. Criteria of algebraic independence of several numbers. The Riemann problem, complete integrability and arithmetic applications (Bures-sur-Yvette/New York, 1979/1980), pp. 323--368, Lecture Notes in Math., 925, Springer, Berlin-New York, 1982. (Reviewer: D. W. Masser) 10F35

MR0659865 (83g:81086) Chudnovsky, D. V.; Chudnovsky, G. V. Quantum Hamiltonians associated with finite-dimensional Lie algebras and factorized $S$-matrices. The Riemann problem, complete integrability and arithmetic applications (Bures-sur-Yvette/New York, 1979/1980), pp. 147--156, Lecture Notes in Math., 925, Springer, Berlin-New York, 1982. 81E25 (22E70 58F07 81F15 82A68)

MR0658271 (83g:58003) Chudnovsky, D. V.; Chudnovsky, G. V. Bäcklund transformations and lattice systems with $G$-gauge symmetries. Phys. Lett. A 89 (1982), no. 3, 117--122. (Reviewer: C. Rogers) 58A15 (35Q20 58F07 81E25)

MR0659853 (83f:81003) The Riemann problem, complete integrability and arithmetic applications. Proceedings of a Seminar held at the Institut des Hautes Études Scientifiques, Bures-sur-Yvette and at Columbia University, New York, 1979--1980. Edited by David V. Chudnovsky and Gregory V. Chudnovsky. Lecture Notes in Mathematics, 925. Springer-Verlag, Berlin-New York, 1982. vi+373 pp. ISBN: 3-540-11483-1 81-06 (58-06)

MR0659870 (85i:34002) Chudnovsky, D.; Chudnovsky, G. Resolvent and trace identities in the one-dimensional case. The Riemann problem, complete integrability and arithmetic applications (Bures-sur-Yvette/New York, 1979/1980), pp. 215--220, Lecture Notes in Math., 925, Springer, Berlin, 1982. 34A55 (58F07)

MR0633888 (83m:32002) Chudnovsky, G. V. Singular points on complex hypersurfaces and multidimensional Schwarz lemma. Seminar on Number Theory, Paris 1979--80, pp. 29--69, Progr. Math., 12, Birkhäuser, Boston, Mass., 1981. (Reviewer: Michel Waldschmidt) 32A22 (10F35 14J17)

MR0607959 (83f:54011) Antonovskij, Mikhail Y.; Chudnovsky, David V.; Chudnovsky, Gregory V.; Hewitt, Edwin Rings of real-valued continuous functions. II. Math. Z. 176 (1981), no. 2, 151--186. (Reviewer: Andreas Blass) 54C30 (03C20 03E35 12J15)

MR0643458 (83e:58003) Chudnovsky, D. V.; Chudnovsky, G. V. Bäcklund transformation as a method of decomposition and reproduction of two-dimensional nonlinear systems. Phys. Lett. A 87 (1981/82), no. 7, 325--329. 58A15 (35Q20 58F07 81E99)

MR0640661 (83d:58030) Chudnovsky, D. V.; Chudnovsky, G. V. Bäcklund transformations connecting different isospectral deformation equations. J. Math. Phys. 22 (1981), no. 11, 2518--2522. (Reviewer: Hélène Airault) 58F07 (35A30 58F07 81F20)

MR0630504 (82m:81035) Chudnovsky, D. V.; Chudnovsky, G. V. Quantum Hamiltonians associated with finite-dimensional Lie algebras and factorized $S$ matrices. Phys. Rev. Lett. 47 (1981), no. 16, 1093--1096. (Reviewer: Martin C. Gutzwiller) 81C99 (58F05 58F07)

MR0628605 (82j:82006) Chudnovsky, D. V.; Chudnovsky, G. V. The relationship between nonabelian matrix Toda lattices and Ising-type models of statistical mechanics. Phys. Lett. A 84 (1981), no. 7, 353--356. 82A05 (58F07 82A68)

MR0600570 (82j:10060) Chudnovsky, G. V. Algebraic grounds for the proof of algebraic independence. How to obtain measure of algebraic independence using elementary methods. I. Elementary algebra. Comm. Pure Appl. Math. 34 (1981), no. 1, 1--28. (Reviewer: Michel Waldschmidt (Zbl 446:10025)) 10F35

MR0609849 (82f:35158) Chudnovsky, D. V.; Chudnovsky, G. V. Bäcklund transformation for two-dimensional nonlinear evolution equations and the decomposition theorem. Phys. Lett. A 82 (1981), no. 6, 271--275. (Reviewer: F. A. E. Pirani) 35Q20 (58A15 81C05)

MR0609283 (82f:81069) Chudnovsky, D. V.; Chudnovsky, G. V. Completely $X$-symmetric $S$-matrices corresponding to theta functions and models of statistical mechanics. Lett. Math. Phys. 5 (1981), no. 1, 43--51. 81F15 (14K25 35A30 58F07 82A15)

MR0597095 (82c:14034) Chudnovsky, D. V.; Chudnovsky, G. V. Completely $X$-symmetric $S$-matrices corresponding to theta functions. Phys. Lett. A 81 (1981), no. 2-3, 105--110. 14K25 (22E27 58F07 81D05 81F15)

MR0598580 (81m:81061) Chudnovsky, D. V.; Chudnovsky, G. V. The construction of factorized $S$-matrices---the relationships between the Baxter model and ``Zamolodchikov algebras''. Phys. Lett. B 98 (1981), no. 1-2, 83--88. 81F15 (81E10 82A67)

MR0587324 (83k:10064) Chudnovsky, Gregory V. The degree of subvarieties containing ``cubes'' of group varieties. III. C. R. Math. Rep. Acad. Sci. Canada 2 (1980), no. 4, 181--185. 10F35 (14L15)

MR0593118 (83e:58071) Chudnovsky, D. V.; Chudnovsky, G. V. The universal families of one-dimensional commuting Hamiltonians which generate all two-dimensional isospectral deformation equations. Phys. Lett. A 80 (1980), no. 1, 1--5. 58F19 (34C35 58F07)