Springer Monographs in Mathematics: The Second Main Theorem and its Error Terms

Cherry, William; Ye, Zhuan

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.

Details

Published by: Springer

Publication Date: 2001-04-24

Format: Hardcover

ISBN-13: 9783540664161

DOI: 10.1007/978-3-662-12590-8

Dimensions: 235cm x155cm

Pages: 203