Electronic Resource
Springer
Inventiones mathematicae
122 (1995), S. 475-507
ISSN:
1432-1297
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary We first prove a theorem concerning higher order logarithmic partial derivatives for meromorphic functions of several complex variables. Then we show the best nature of the second main theorem in Nevanlinna theory under two different assumptions of non-degeneracy of meromorphic mappingsf : ℂ n → ℙ n for arbitrary positive integersn andm. Moreover, we derive a upper bound of the error term in the second main theorem for meromorphic mappings of finite order. Finally, we demonstrate the sharpness of all upper bounds in our main theorems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01231453
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