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Field name	Details
Dewey Class	515
Title	Topics in Nevanlinna Theory ([EBook] /) / edited by Serge Lang, William Cherry.
Added Personal Name	Lang, Serge editor.
Added Personal Name	Cherry, William editor.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1990.
Physical Details	CLXXXIV, 180 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1433
ISBN	9783540471462
Summary Note	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.:
Contents note	Nevanlinna theory in one variable -- Equidimensional higher dimensional theory -- Nevanlinna Theory for Meromorphic Functions on Coverings of C -- Equidimensional Nevanlinna Theory on Coverings of Cn.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0093846
Links to Related Works	Subject References: Algebraic Geometry . Analysis . Analysis (Mathematics) . Differential Geometry . Mathematical analysis . Mathematics . Number Theory . Authors: Cherry, William . Lang, Serge . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515 .

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Topics in Nevanlinna Theory

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