Nevanlinna's theory of value distribution : the second main theorem and its error terms
Author(s)
Bibliographic Information
Nevanlinna's theory of value distribution : the second main theorem and its error terms
（Springer monographs in mathematics）
Springer, c2011
- : pbk
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Note
Originally published: 2001
Includes bibliographical references and index
Description and Table of Contents
Description
This monograph serves as a self-contained introduction to Nevanlinna's theory of value distribution as well as a valuable reference for research specialists. 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.
Table of Contents
1. The First Main Theorem.- 2. The Second Main Theorem via Negative Curvature.- 3. Logarithmic Derivatives.- 4. The Second Main Theorem via Logarithmic Derivatives.- 5. Some Applications.- 6. A Further Digression into Number Theory: Theorems of Roth and Khinchin.- 7. More on the Error Term.- Glossary of Notation.
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