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Nevanlinna’s Theory of Value Distribution

The Second Main Theorem and its Error Terms

  • William Cherry
  • Zhuan Ye

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages i-xii
  2. William Cherry, Zhuan Ye
    Pages 1-4
  3. William Cherry, Zhuan Ye
    Pages 5-48
  4. William Cherry, Zhuan Ye
    Pages 49-88
  5. William Cherry, Zhuan Ye
    Pages 89-106
  6. William Cherry, Zhuan Ye
    Pages 107-117
  7. William Cherry, Zhuan Ye
    Pages 119-150
  8. William Cherry, Zhuan Ye
    Pages 161-186
  9. Back Matter
    Pages 187-203

About this book

Introduction

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.

Keywords

Complex analysis Nevanlinna Nevanlinna theory approximation diophantine diophantine approximation error terms number theory value distribution

Authors and affiliations

  • William Cherry
    • 1
  • Zhuan Ye
    • 2
  1. 1.Department of MathematicsUniversity of North TexasDentonUSA
  2. 2.Department of Mathematical SciencesNorthern Illinois UniversityDeKalbUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-12590-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08568-0
  • Online ISBN 978-3-662-12590-8
  • Series Print ISSN 1439-7382
  • Buy this book on publisher's site
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