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A new proof of Masser's vanishing theorem
Author(s):
Kumiko
Nishioka
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3271-3274.
MSC (1991):
Primary 11J81;
Secondary 11J91
MathSciNet review:
1328365
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Abstract:
We give a simple proof of Masser's vanishing theorem, which is important in investigating the algebraic independence of the values of Mahler functions.
References:
- 1.
- A. Baker, Transcendental number theory, Cambridge Univ. Press, 1975. MR 54:10163
- 2.
- K. K. Kubota, On the algebraic independence of holomorphic solutions of certain functional equations and their values, Math. Ann. 227 (1977), 9--50. MR 58:21959
- 3.
- K. Mahler, Remarks on a paper by W. Schwarz, J. Number Theory 1 (1969), 512--521. MR 40:2611
- 4.
- D. W. Masser, A vanishing theorem for power series, Invent. Math. 67 (1982), 275--296. MR 84f:10047
- 5.
- Keiji Nishioka and Kumiko Nishioka, Algebraic independence of elementary functions and its application to Masser's vanishing theorem, Aequationes Math. 40 (1990), 67--77. MR 91g:11078
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Additional Information:
Kumiko
Nishioka
Affiliation:
Department of Mathematics, Keio University, 4-1-1 Hiyoshi, Kohoku-ku, Yokohama, 223 Japan
DOI:
10.1090/S0002-9939-96-03410-7
PII:
S 0002-9939(96)03410-7
Keywords:
Mahler function
Received by editor(s):
June 6, 1994
Received by editor(s) in revised form:
March 27, 1995
Communicated by:
William W. Adams
Copyright of article:
Copyright
1996,
American Mathematical Society
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