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Nevanlinnas Theory of Value Distribution
The Second Main Theorem and its Error Terms, Springer Monographs in Mathematics
ISBN/EAN: 9783642085680
Umbreit-Nr.: 1548099
Sprache:
Englisch
Umfang: xii, 203 S.
Format in cm:
Einband:
kartoniertes Buch
Erschienen am 04.12.2010
Auflage: 1/2001
- Zusatztext
- Inhaltsangabe1. 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.
- Kurztext
- 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.