Titlebook: Nevanlinna’s Theory of Value Distribution; The Second Main Theo William Cherry,Zhuan Ye Book 2001 Springer-Verlag Berlin Heidelberg 2001 Co

Distribution

The First Main Theorem,As we mentioned in the introduction, the basis for Nevanlinna’s theory are his two “main” theorems. This chapter discusses the first and easier of the two.

flavonoids

conifer

Nevanlinna’s Theory of Value Distribution978-3-662-12590-8Series ISSN 1439-7382 Series E-ISSN 2196-9922

树木心

Peculate

https://doi.org/10.1007/978-3-662-12590-8Complex analysis; Nevanlinna; Nevanlinna theory; approximation; diophantine; diophantine approximation; er

definition

William Cherry,Zhuan YeIncludes supplementary material:

AWRY

Introduction,plex variable will have . complex zeros, provided that the zeros are counted with multiplicity. If .(.) is a degree . polynomial, then .grows essentially like .. as . → ∞. Therefore, we can rephrase the Fundamental Theorem of Algebra as follows: a non-constant polynomial in one complex variable take

Laconic

Proponent

CURB

The Second Main Theorem via Logarithmic Derivatives,e lines, and the proof we give here is generally speaking similar to the proof given in Hayman’s book [Hay 1964]. Neither Nevanlinna nor Hayman were interested in the precise structure of the error term, and they did not use the refined logarithmic derivative estimates of Gol’dberg and Grinshtein, a