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A note on -adic Nevanlinna theory
Author:
Min Ru
Journal:
Proc. Amer. Math. Soc. 129 (2001), 1263-1269
MSC (2000):
Primary 11S80, 30D35, 32H30
Posted:
October 19, 2000
MathSciNet review:
1712881
Full-text PDF Free Access
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Additional Information
Abstract: In this paper, we show that the First Main Theorem in -adic Nevanlinna theory implies the Second Main Theorem without the ramification term.
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- [Ch1]
- Cherry, W.: Hyperbolic
-adic analytic spaces. Ph.D. Thesis, Yale University, 1993.
- [Ch2]
- Cherry, W.: Non-Archimedean analytic curves in Abelian varieties. Math. Ann., 300, 393-404, (1994). MR 96i:14021
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- Cherry, W.: A survey of Nevanlinna theory over Non-Archimedean fields. Bull. Hong Kong Math. Soc. 1(2), 235-249, (1994). MR 99a:32047
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- Cherry, W. and Ye, Z.: Non-Archimedean Nevanlinna theory in several variables and non-Archimedean Nevanlinna inverse problem. Trans. Amer. Math. Soc. 349, 5047-5071, (1997). MR 98c:11072
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- Hu, P.C. and Yang, C.C.: Value distribution theory of
-adic meromorphic functions. J. Contemp. Math. Anal., to appear.
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- Hu, P.C. and Yang, C.C.: The Cartan conjecture for
-adic meromorphic functions. J. Contemp. Math. Anal., to appear.
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-adic meromorphic functions. Duke Math. J. 50, 695-711, 1983. MR 85d:11092
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Additional Information
Min Ru
Affiliation:
Department of Mathematics, University of Houston, Houston, Texas 77204
Email:
minru@math.uh.edu
DOI:
http://dx.doi.org/10.1090/S0002-9939-00-05680-X
PII:
S 0002-9939(00)05680-X
Received by editor(s):
July 20, 1999
Posted:
October 19, 2000
Additional Notes:
The author is supported in part by NSF grant DMS-9800361 and by NSA grant MDA904-99-1-0034. The United States Government is authorized to reproduce and distribute reprints notwithstanding any copyright notation hereon.
Communicated by:
Steven R. Bell
Article copyright:
© Copyright 2000 American Mathematical Society
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