WorldCat Identities

Cherry, William 1966-

Overview
Works: 4 works in 38 publications in 2 languages and 920 library holdings
Genres: Conference proceedings 
Roles: Editor
Classifications: QA3, 515
Publication Timeline
Key
Publications about  William Cherry Publications about William Cherry
Publications by  William Cherry Publications by William Cherry
Most widely held works by William Cherry
Topics in Nevanlinna theory by Serge Lang ( Book )
17 editions published in 1990 in English and German and held by 480 WorldCat member libraries worldwide
These are notes of lectures on Nevanlinna theory, in the classical case of meromorphic functions, and the generalization by Carlson-Griffith to equidimensional holomorphic maps using as domain space finite coverings of C resp. Cn. Conjecturally best possible error terms are obtained following a method of Ahlfors and Wong. This is especially significant when obtaining uniformity for the error term w.r.t. coverings, since the analytic yields case a strong version of Vojta's conjectures in the number-theoretic case involving the theory of heights. The counting function for the ramified locus in the analytic case is the analogue of the normalized logarithmetic discriminant in the number-theoretic case, and is seen to occur with the expected coefficient 1. The error terms are given involving an approximating function (type function) similar to the probabilistic type function of Khitchine in number theory. The leisurely exposition allows readers with no background in Nevanlinna Theory to approach some of the basic remaining problems around the error term. It may be used as a continuation of a graduate course in complex analysis, also leading into complex differential geometry
Nevanlinna's theory of value distribution : the second main theorem and its error terms by William Cherry ( Book )
9 editions published between 2001 and 2011 in English and held by 231 WorldCat member libraries worldwide
"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, it 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."--BOOK JACKET
Value distribution theory and complex dynamics : proceedings of the special session on value distribution theory and complex dynamics held at the First Joint International Meeting of the American Mathematical Society and the Hong Kong Mathematical Society : Hong Kong, December 13-16, 2000 by Joint International Meeting of the American Mathematical Society and the Hong Kong Mathematical Society ( Book )
11 editions published between 2000 and 2002 in English and held by 207 WorldCat member libraries worldwide
 
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.85 (from 0.10 for Value dist ... to 0.93 for Value dist ...)
Alternative Names
Cherry, W.
Cherry, William
Languages
English (37)
German (1)
Covers