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VALUE DISTRIBUTION THEORY AND DIOPHANTINE APPROXIMATION

VALUE DISTRIBUTION THEORY AND DIOPHANTINE APPROXIMATION
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摘要 In this paper, we will introduce some problems and results between Diophantine approximation and value distribution theory. In this paper, we will introduce some problems and results between Diophantine approximation and value distribution theory.
作者 Peichu Hu Chungchun Yang
机构地区 Shandong University The Hong Kong University of Science ＆ Technology
出处 《Analysis in Theory and Applications》 2005年第2期101-117,共17页 分析理论与应用（英文刊）
基金 The work of first author was partially supported by Natural Science Foundation of China second author's was partially supported by a UGC Grant of Hong Kong: Project No. 604103
关键词 value distribution Diophantine approximation value distribution, Diophantine approximation
分类号 O156.7 [理学—基础数学]
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  • 1Dufresnoy, H., Theorie Nouvelle des Families Complexes Normales. Applications a l'etude des Fonctions Algebroides, Ann. Sci. Ecole Norm. Sup., 61 (1944), 1-44.
  • 2Eremenko, A. E. and Sodin, M. L., The Value Distribution of Meromorphic Functions and Meromorphic Curves from the Point of View of Potential Theory, St. Petersburg Math. J., 3:1(1992),109-136.
  • 3Faltings, G., Arakelov's Theorem for Abeliaal Varieties, Invent. Math., 73(1983), 337-347.
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  • 5Fujimoto, H., Extensions of the Big Picard Theorem, Tohoku Math. J., 24 (1972), 415-422.
  • 6Fujimoto, H., Families of Holomorphic Maps into the Projective Space Omitting Some Hyperplanes,J. Math. Soc. Japan 25 (1973), 235-249.
  • 7Granville, A. and Tucker, T. J., It's as Easy as abc, Notices Amer. Math. Soc., 49 (2002), 1224-1231.
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  • 9Green, M., Some Picard Theorems for Holomorphic Mappings to Algebraic Varieties, Amer. J.Math., 97 (1975), 43-75.
  • 10Green, M., Some Examples and Counter Examples in Value Distribution Theory of Several Complex Variables, Composito Math., 39 (1975), 317-322.
Analysis in Theory and Applications
2005年 第2期

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