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Value Distribution Theory Related to Number Theory
ISBN-13:
9783764375690
Veröffentl:
2006
Seiten:
543
Autor:
Pei-Chu Hu
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
The subject of the book is Diophantine approximation and Nevanlinna theory.
"The subject of the book is Diophantine approximation and Nevanlinna theory. Not only does the text provide new results and directions, it also challenges open problems and collects latest research activities on these subjects made by the authors over the past eight years. Some of the significant findings are the proof of the Green-Griffiths conjecture by using meromorphic connections and Jacobian sections, and a generalized abc-conjecture. The book also presents the state of the art in the studies of the analogues between Diophantine approximation (in number theory) and value distribution theory (in complex analysis), with a method based on Vojta's dictionary for the terms of these two fields. The approaches are relatively natural and more effective than existing methods.
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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