Review: Andrei B. Shidlovskii, Transcendental numbers
R. Tijdeman
Source: Bull. Amer. Math. Soc. (N.S.) Volume 25, Number 2
(1991), 445-453.
First Page:
Show
Hide
Reviewed Works:
Andrei B. Shidlovskii, Transcendental numbers. Studies in mathematics, vol. 12, Walter de Gruyter, Berlin, New York, 1989, xix + 466 pp., $89.50. ISBN 3-11-011568-9
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bams/1183657195
References
1. A. Baker, Transcendental number theory, Cambridge Univ. Press, London, 1975.
Zentralblatt MATH: 0297.10013
Mathematical Reviews (MathSciNet): MR422171
2. F. Beukers, W. D. Brownawell, and G. Heckman, Siegel normality, Ann. of Math. (2) 127 (1988), 279-308.
Zentralblatt MATH: 0652.10027
Mathematical Reviews (MathSciNet): MR932298
Digital Object Identifier: doi:10.2307/2007054
3. N. I. Feldman, Approximations of algebraic numbers, Moskov. Gos. Univ. Moscow, 1981. (Russian)
Mathematical Reviews (MathSciNet): MR646065
4. N. I. Feldman, Hilbert's Seventh Problem, Moskov. Gos. Univ., Moscow, 1982. (Russian)
Zentralblatt MATH: 0515.10031
Mathematical Reviews (MathSciNet): MR710652
5. A. O. Gelfond, Transcendental and algebraic numbers, Dover Publ., NY, 1960.
Zentralblatt MATH: 0090.26103
Mathematical Reviews (MathSciNet): MR111736
6. S. Lang, Introduction to transcendental numbers, Addison-Wesley, Reading, MA, 1966.
Zentralblatt MATH: 0144.04101
Mathematical Reviews (MathSciNet): MR214547
7. K. Mahler, Lectures on transcendental numbers, Lecture Notes in Math., vol. 546, Springer-Verlag, Berlin, 1976.
Zentralblatt MATH: 0332.10019
Mathematical Reviews (MathSciNet): MR491533
8. D. Masser, Elliptic functions and transcendence, Lecture Notes in Math., vol. 437, Springer-Verlag, Berlin, 1975.
Zentralblatt MATH: 0312.10023
Mathematical Reviews (MathSciNet): MR379391
9. W. M. Schmidt, Diophantine approximation, Lecture Notes in Math., vol. 785, Springer-Verlag, Berlin, 1980.
Zentralblatt MATH: 0421.10019
Mathematical Reviews (MathSciNet): MR568710
10. Th. Schneider, Einführung in die transzendenten Zahlen, Grundlehren Math. Wiss., vol. 81, Springer-Verlag, Berlin, 1957.
Zentralblatt MATH: 0077.04703
Mathematical Reviews (MathSciNet): MR86842
11. C. L. Siegel, Über einige Anwendungen diophantischer Approximationen, Abh. Preuss. Akad. Wiss., Phys-Math. Kl., (1929-1930), no. 1, pp. 1-70.
12. C. L. Siegel, Transcendental numbers, Ann. Math. Studies, no. 16, Princeton Univ. Press, Princeton, NJ, 1949.
Zentralblatt MATH: 0039.04402
Mathematical Reviews (MathSciNet): MR32684
13. M. Waldschmidt, Nombres transcendants, Lecture Notes in Math., vol. 402, Springer-Verlag, Berlin, 1974.
Zentralblatt MATH: 0302.10030
Mathematical Reviews (MathSciNet): MR360483
14. M. Waldschmidt, Transcendence methods, Queen's Papers in Pure and Applied Math., no. 52, Queen's Univ., Kingston, Ont., 1979.
Zentralblatt MATH: 0432.10016
Mathematical Reviews (MathSciNet): MR633068
15. F. Beukers, Differential Galois theory, Number Theory and Physics, Proceedings Conf. Les Houches in 1989, vol. 2, Springer-Verlag, Berlin and New York, 1991 (to appear).
Zentralblatt MATH: 0813.12001
Mathematical Reviews (MathSciNet): MR1221107
16. N. M. Katz, Exponential sums and differential equations, Ann. Math. Studies, no. 124, Princeton Univ. Press, Princeton, NJ, 1990.
Zentralblatt MATH: 0731.14008
Mathematical Reviews (MathSciNet): MR1081536
Bulletin (New Series) of the American Mathematical Society