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Article: A Second Main Theorem on ℙn for difference operator

TitleA Second Main Theorem on ℙn for difference operator
Authors
KeywordsFinite Difference
Finite Order
Ramification
Second Main Theorem
Issue Date2009
PublisherScience in China Press. The Journal's web site is located at http://www.scichina.com:8081/sciAe/EN/volumn/current.shtml
Citation
Science In China, Series A: Mathematics, 2009, v. 52 n. 12, p. 2751-2758 How to Cite?
AbstractThe main result of this article is an extension of the Second Main Theorem, of Halburd and Korhonen, for meromorphic functions of finite order. Their result replaces the counting function of the ramification divisor Nramf(r) in the classical Second Main Theorem by the counting function of a finite difference divisor Npair(r). In this article, the Second Main Theorem of Halburd and Korhonen is extended to the case of holomorphic maps into ℙn of finite order. © 2009 Science in China Press and Springer Berlin Heidelberg.
Persistent Identifierhttp://hdl.handle.net/10722/156246
ISSN
2011 Impact Factor: 0.701
2012 SCImago Journal Rankings: 0.540
ISI Accession Number ID
Funding AgencyGrant Number
Natural Science Foundation of USADMS0713348
Research Grant Council of Hong KongHKU7053/06P
Funding Information:

This work was supported by Natural Science Foundation of USA (Grant No. DMS0713348) and Research Grant Council of Hong Kong (Grant No. HKU7053/06P)

References

 

DC FieldValueLanguage
dc.contributor.authorWong, PMen_US
dc.contributor.authorLaw, HFen_US
dc.contributor.authorWong, PPWen_US
dc.date.accessioned2012-08-08T08:41:00Z-
dc.date.available2012-08-08T08:41:00Z-
dc.date.issued2009en_US
dc.identifier.citationScience In China, Series A: Mathematics, 2009, v. 52 n. 12, p. 2751-2758en_US
dc.identifier.issn1006-9283en_US
dc.identifier.urihttp://hdl.handle.net/10722/156246-
dc.description.abstractThe main result of this article is an extension of the Second Main Theorem, of Halburd and Korhonen, for meromorphic functions of finite order. Their result replaces the counting function of the ramification divisor Nramf(r) in the classical Second Main Theorem by the counting function of a finite difference divisor Npair(r). In this article, the Second Main Theorem of Halburd and Korhonen is extended to the case of holomorphic maps into ℙn of finite order. © 2009 Science in China Press and Springer Berlin Heidelberg.en_US
dc.languageengen_US
dc.publisherScience in China Press. The Journal's web site is located at http://www.scichina.com:8081/sciAe/EN/volumn/current.shtmlen_US
dc.relation.ispartofScience in China, Series A: Mathematicsen_US
dc.subjectFinite Differenceen_US
dc.subjectFinite Orderen_US
dc.subjectRamificationen_US
dc.subjectSecond Main Theoremen_US
dc.titleA Second Main Theorem on ℙn for difference operatoren_US
dc.typeArticleen_US
dc.identifier.emailWong, PPW:ppwwong@maths.hku.hken_US
dc.identifier.authorityWong, PPW=rp00810en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/s11425-009-0213-5en_US
dc.identifier.scopuseid_2-s2.0-73249114973en_US
dc.identifier.hkuros170502-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-73249114973&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume52en_US
dc.identifier.issue12en_US
dc.identifier.spage2751en_US
dc.identifier.epage2758en_US
dc.identifier.eissn1862-2763-
dc.identifier.isiWOS:000272622200016-
dc.publisher.placeChinaen_US
dc.identifier.scopusauthoridWong, PM=7403978366en_US
dc.identifier.scopusauthoridLaw, HF=35264431800en_US
dc.identifier.scopusauthoridWong, PPW=12752716000en_US
dc.identifier.citeulike6478245-

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