A new proof of Masser's vanishing theorem

Author:
Kumiko Nishioka

Journal:
Proc. Amer. Math. Soc. **124** (1996), 3271-3274

MSC (1991):
Primary 11J81; Secondary 11J91

DOI:
https://doi.org/10.1090/S0002-9939-96-03410-7

MathSciNet review:
1328365

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Abstract | References | Similar Articles | Additional Information

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.

**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:
https://doi.org/10.1090/S0002-9939-96-03410-7

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

Article copyright:
© Copyright 1996
American Mathematical Society