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Nevanlinna’s Theory of Value Distribution: The Second Main Theorem and its Error Terms

Nevanlinna’s Theory of Value Distribution: The Second Main Theorem and its Error Terms
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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
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