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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. …mehr

Produktbeschreibung
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.
  • Produktdetails
  • Verlag: Birkhäuser Basel / Springer, Basel
  • Artikelnr. des Verlages: 11611332
  • 2006
  • Seitenzahl: 556
  • Erscheinungstermin: 14. Juni 2006
  • Englisch
  • Abmessung: 250mm x 175mm x 35mm
  • Gewicht: 1138g
  • ISBN-13: 9783764375683
  • ISBN-10: 376437568X
  • Artikelnr.: 20779380
Autorenporträt
Pei-Chu Hu, Shandong University, China / Chung-Chun Yang, Hong Kong University of Science and Technology, China
Inhaltsangabe
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.
Rezensionen
"In this monograph the authors survey both basics and well-known results of both value distribution theory in higher dimensions and Diophantine geometry. ... This book is devoted to a subject the reviewer considers intriguing and it may be a valuable work of reference." -- Ch. Baxa, Monatshefte für Mathematik, Vol. 154 (4), August, 2008