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Nevanlinna’s Theory of Value Distribution: The Second Main Theorem and its Error Terms
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Catalogue Information
Field name
Details
Dewey Class
515.9
Title
Nevanlinna’s Theory of Value Distribution ([EBook]) : The Second Main Theorem and its Error Terms / by William Cherry, Zhuan Ye
Author
Cherry, William , 1966-
Added Personal Name
Ye, Zhuan
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer Berlin Heidelberg , 2001
Physical Details
XII, 203 p. : online resource.
Series
Springer monographs in mathematics
1439-7382
ISBN
9783662125908
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-662-12590-8
Links to Related Works
Subject References:
Functions of a Complex Variable
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Functions of complex variables
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Mathematics
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Number Theory
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Several Complex Variables and Analytic Spaces
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Authors:
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Cherry, William 1966-
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Ye, Zhuan
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer monographs in mathematics
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Classification:
515.9
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