About: Nevanlinna theory

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In mathematics, the value distribution theory of holomorphic functions is a division of mathematical analysis. It tries to get quantitative measures of the number of times a function f(z) assumes a value a, as z grows in size, refining the Picard theorem on behaviour close to an essential singularity. The theory exists for analytic functions (and meromorphic functions) of one complex variable z, or of several complex variables. * v * t * e

Attributes	Values
rdf:type	yago:WikicatAnalyticFunctions yago:WikicatMeromorphicFunctions yago:Abstraction100002137 yago:Function113783816 yago:MathematicalRelation113783581 yago:Relation100031921 organisation
rdfs:label	Value distribution theory of holomorphic functions (en)
rdfs:comment	In mathematics, the value distribution theory of holomorphic functions is a division of mathematical analysis. It tries to get quantitative measures of the number of times a function f(z) assumes a value a, as z grows in size, refining the Picard theorem on behaviour close to an essential singularity. The theory exists for analytic functions (and meromorphic functions) of one complex variable z, or of several complex variables. * v * t * e (en)
dcterms:subject	Analytic functions Meromorphic functions
Wikipage page ID	391950 (xsd:integer)
Wikipage revision ID	941650647 (xsd:integer)
Link from a Wikipage to another Wikipage	Rolf Nevanlinna Meromorphic function Mordell conjecture Analytic functions Paul Vojta Value (mathematics) Holomorphic function Mathematical analysis Mathematics Essential singularity Nevanlinna theory Function (mathematics) Meromorphic functions Diophantine equation Complex coordinate space Picard theorem
sameAs	Nevanlinna theory Nevanlinna theory Nevanlinna theory Nevanlinna theory Nevanlinna theory
dbp:wikiPageUsesTemplate	dbt:Short_description dbt:Unreferenced dbt:Mathanalysis-stub
has abstract	In mathematics, the value distribution theory of holomorphic functions is a division of mathematical analysis. It tries to get quantitative measures of the number of times a function f(z) assumes a value a, as z grows in size, refining the Picard theorem on behaviour close to an essential singularity. The theory exists for analytic functions (and meromorphic functions) of one complex variable z, or of several complex variables. In the case of one variable the term Nevanlinna theory, after Rolf Nevanlinna, is also common. The now-classical theory received renewed interest, when Paul Vojta suggested some analogies with the problem of integral solutions to Diophantine equations. These turned out to involve some close parallels, and to lead to fresh points of view on the Mordell conjecture and related questions. * v * t * e (en)
gold:hypernym	Division
prov:wasDerivedFrom	wikipedia-en:Value_distribution_theory_of_holomorphic_functions?oldid=941650647&ns=0
page length (characters) of wiki page	1157 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Value_distribution_theory_of_holomorphic_functions
is Link from a Wikipage to another Wikipage of	List of complex analysis topics Edward Collingwood Oswald Teichmüller Gustav Elfving Shiing-Shen Chern Value-distribution theory Value distribution theory Nevanlinnna theory
is Wikipage redirect of	Value-distribution theory Value distribution theory Nevanlinnna theory
is foaf:primaryTopic of	wikipedia-en:Value_distribution_theory_of_holomorphic_functions

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