Name: topics in nevanlinna theory (en Inglés)
Price: 70.45 USD
Availability: InStock
Author: lang,cherry
ISBN: 9783540527855

portada topics in nevanlinna theory (en Inglés)

Formato

Libro Físico

Editorial

springer publishing map

Autor

lang,cherry

Idioma

Inglés

N° páginas

174

ISBN

3540527850

ISBN13

9783540527855

Categorías

Cálculo

topics in nevanlinna theory (en Inglés)

Lang,Cherry (Autor) · springer publishing map · Libro Físico

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Reseña del libro "topics in nevanlinna theory (en Inglés)"

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 vojtas 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.