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Book Review
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Book Information
Author(s):
Andrei B. Shidlovskii
Title:
Transcendental numbers
Additional book information:
Studies in mathematics, vol. 12, Walter de Gruyter, Berlin, New York, 1989, xix + 466 pp., $89.50. ISBN 3-11-011568-9
References:
- 1.
- A. Baker, Transcendental number theory, Cambridge Univ. Press, London, 1975. MR 422171
- 2.
- F. Beukers, W. D. Brownawell, and G. Heckman, Siegel normality, Ann. of Math. (2) 127 (1988), 279-308. MR 932298
- 3.
- N. I. Feldman, Approximations of algebraic numbers, Moskov. Gos. Univ. Moscow, 1981. (Russian) MR 646065
- 4.
- N. I. Feldman, Hilbert's Seventh Problem, Moskov. Gos. Univ., Moscow, 1982. (Russian) MR 710652
- 5.
- A. O. Gelfond, Transcendental and algebraic numbers, Dover Publ., NY, 1960. MR 111736
- 6.
- S. Lang, Introduction to transcendental numbers, Addison-Wesley, Reading, MA, 1966. MR 214547
- 7.
- K. Mahler, Lectures on transcendental numbers, Lecture Notes in Math., vol. 546, Springer-Verlag, Berlin, 1976. MR 491533
- 8.
- D. Masser, Elliptic functions and transcendence, Lecture Notes in Math., vol. 437, Springer-Verlag, Berlin, 1975. MR 379391
- 9.
- W. M. Schmidt, Diophantine approximation, Lecture Notes in Math., vol. 785, Springer-Verlag, Berlin, 1980. MR 568710
- 10.
- Th. Schneider, Einführung in die transzendenten Zahlen, Grundlehren Math. Wiss., vol. 81, Springer-Verlag, Berlin, 1957. MR 86842
- 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. MR 32684
- 13.
- M. Waldschmidt, Nombres transcendants, Lecture Notes in Math., vol. 402, Springer-Verlag, Berlin, 1974. MR 360483
- 14.
- M. Waldschmidt, Transcendence methods, Queen's Papers in Pure and Applied Math., no. 52, Queen's Univ., Kingston, Ont., 1979. MR 633068
- 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). MR 1221107
- 16.
- N. M. Katz, Exponential sums and differential equations, Ann. Math. Studies, no. 124, Princeton Univ. Press, Princeton, NJ, 1990. MR 1081536
Additional Information:
Reviewer(s):
R.
Tijdeman
Review Information:
Journal:
Bull. Amer. Math. Soc.
25
(1991),
445-453.
DOI:
10.1090/S0273-0979-1991-16089-1
PII:
S 0273-0979(1991)16089-1
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