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[Springer Monographs in Mathematics] Nevanlinna’s Theory of Value Distribution || Introduction

✍ Scribed by Cherry, William; Ye, Zhuan

Book ID
121504627
Publisher
Springer Berlin Heidelberg
Year
2001
Tongue
German
Weight
621 KB
Edition
1
Category
Article
ISBN
3662125900

No coin nor oath required. For personal study only.

✦ Synopsis

On the one hand, this monograph serves as a self-contained introduction to Nevanlinna's theory of value distribution because the authors only assume the reader is familiar with the basics of complex analysis. On the other hand, the monograph also serves as a valuable reference for the research specialist because the authors present, for the first time in book form, the most modern and refined versions of the Second Main Theorem with precise error terms, in both the geometric and logarithmic derivative based approaches. A unique feature of the monograph is its "number-theoretic digressions". These special sections assume no background in number theory and explore the exciting interconnections between Nevanlinna theory and the theory of Diophantine approximation.

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