Nevanlinna Theory in Several Complex Variables and Diophantine Approximation

Häftad, Engelska, 2016

AvJunjiro Noguchi,Jörg Winkelmann,Jorg Winkelmann

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This book reviews higher dimensional Nevanlinna theory and its relationship with Diophantine approximation theory. Coverage builds up from the classical theory of meromorphic functions on the complex plane with full proofs, to the current state of research.

Produktinformation

Utgivningsdatum2016-08-23
Mått155 x 235 x 24 mm
Vikt651 g
FormatHäftad
SpråkEngelska
SerieGrundlehren der mathematischen Wissenschaften
Antal sidor416
FörlagSpringer Verlag, Japan
ISBN9784431562139

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"I consider this book as extremely helpful both for research and teaching in this area, since it does not only give a self-contained access to some of the deep original research results of the two authors, but it also always discusses the limits and the side aspects of these results by relevant examples, respectively counter-examples, and puts them into its historic contexts, which allows a much deeper understanding than if one just would see the main results." (Gerd Dethloff, zbMATH 1337.32004, 2016) "The book under review gives a panoramic survey of Nevanlinna's theory of valued distribution and Diophantine approximation in several complex variables. ... The book is addressed to researchers and graduate students, and an interested reader will be rewarded with a clear exposition of classical and recent progress in this active area of mathematics." (Felipe Zaldivar, MAA Reviews, April, 2014)