Description: Topics in Nevanlinna Theory, Paperback by Lang, Serge; Cherry, William, ISBN 3540527850, ISBN-13 9783540527855, Like New Used, Free shipping in the US These are notes of lectures on Nevanlinna theory, in the classical case of meromorphic functions, and the generalization by Carlson-Griffith to equidimensional holomorphic maps using as domain space finite coverings of C resp. Cn. Conjecturally best possible error terms are obtained following a method of Ahlfors and Wong. This is especially significant when obtaining uniformity for the error term . coverings, since the analytic yields case a strong version of Vojtas conjectures in the number-theoretic case involving the theory of heights. The counting function for the ramified locus in the analytic case is the analogue of the normalized logarithmetic discriminant in the number-theoretic case, and is seen to occur with the expected coefficient 1. The error terms are given involving an approximating function (type function) similar to the probabilistic type function of Khitchine in number theory. The leisurely exposition allows readers with no background in Nevanlinna Theory to approach some of the basic remaining problems around the error term. It may be used as a continuation of a graduate course in complex analysis, also leading into complex differential geometry.
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Book Title: Topics in Nevanlinna Theory
Number of Pages: Clxxxiv, 180 Pages
Language: English
Publication Name: Topics in Nevanlinna Theory
Publisher: Springer Berlin / Heidelberg
Subject: Geometry / Differential, Geometry / Algebraic, Complex Analysis, Mathematical Analysis
Publication Year: 1990
Item Weight: 21.2 Oz
Type: Textbook
Item Length: 9.2 in
Subject Area: Mathematics
Author: S. Lang
Item Width: 6.1 in
Series: Lecture Notes in Mathematics Ser.
Format: Trade Paperback
