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＜電子ブック＞
Topics in Nevanlinna Theory / by Serge Lang, William Cherry
(Lecture Notes in Mathematics. ISSN:16179692 ; 1433)

版	1st ed. 1990.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1990
本文言語	英語
大きさ	CLXXXIV, 180 p : online resource
冊子体	Topics in Nevanlinna theory / Serge Lang, William Cherry ; : gw,: us
著者標目	*Lang, Serge author Cherry, William author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Geometry, Differential LCSH:Algebraic geometry LCSH:Number theory FREE:Analysis FREE:Differential Geometry FREE:Algebraic Geometry FREE:Number Theory
一般注記	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 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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/BFb0093846

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