Value distribution theory related to number theory

Bibliographic Information

Value distribution theory related to number theory

Pei-Chu Hu, Chung-Chun Yang

Birkhäuser Verlag, c2006

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Note

Includes bibliographical references and index

Description and Table of Contents

Description

The subject of the book is Diophantine approximation and Nevanlinna theory. This book proves not just some new results and directions but challenging open problems in Diophantine approximation and Nevanlinna theory. The authors' newest research activities on these subjects over the past eight years are collected here. Some of the significant findings are the proof of Green-Griffiths conjecture by using meromorphic connections and Jacobian sections, generalized abc-conjecture, and more.

Table of Contents

Heights.- Nevanlinna Theory.- Topics in Number Theory.- Function Solutions of Diophantine Equations.- Functions over Non-Archimedean Fields.- Holomorphic Curves in Canonical Varieties.- Riemann's ?-function.

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