Nevanlinna's Theory of Value Distribution
The Second Main Theorem and its Error Terms
(Sprache: Englisch)
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...
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Produktinformationen zu „Nevanlinna's Theory of Value Distribution “
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.
Klappentext zu „Nevanlinna's Theory of Value Distribution “
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-theoreticdigressions". These special sections assume no background in number theory and explore the exciting interconnections between Nevanlinna theory and the theory of Diophantine approximation.
Inhaltsverzeichnis zu „Nevanlinna's Theory of Value Distribution “
From the contents:The First Main Theorem
- The Second Main Theorem via Negative Curvature
- Logarithmic Derivatives
- The Second Main Theorem via Logarithmic Derivatives
- Some Applications Chapter
- A Further Digression into Number Theory: Theorems of Roth and Khinchin
- More on the Error Term
Bibliographische Angaben
- Autoren: William Cherry , Zhuan Ye
- 2001, 203 Seiten, Maße: 16,2 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3540664165
- ISBN-13: 9783540664161
- Erscheinungsdatum: 24.04.2001
Sprache:
Englisch
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