Serge Lang

(Author)

Topics in Nevanlinna Theory (1990)Paperback - 1990, 24 July 1990

Topics in Nevanlinna Theory (1990)
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Part of Series
Lecture Notes in Mathematics
Part of Series
Springer Proceedings in Physics (Hardcover)
Print Length
180 pages
Language
English
Publisher
Springer
Date Published
24 Jul 1990
ISBN-10
3540527850
ISBN-13
9783540527855

Description

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 w.r.t. coverings, since the analytic yields case a strong version of Vojta's 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.

Product Details

Authors:
Serge LangWilliam Cherry
Book Edition:
1990
Book Format:
Paperback
Country of Origin:
DE
Date Published:
24 July 1990
Dimensions:
23.39 x 15.6 x 1.02 cm
ISBN-10:
3540527850
ISBN-13:
9783540527855
Language:
English
Location:
Berlin, Heidelberg
Pages:
180
Publisher:
Weight:
272.16 gm

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