Details
Value Distribution Theory Related to Number Theory
|
53,49 € |
|
| Verlag: | Birkhäuser |
| Format: | |
| Veröffentl.: | 06.10.2006 |
| ISBN/EAN: | 9783764375690 |
| Sprache: | englisch |
| Anzahl Seiten: | 543 |
Dieses eBook enthält ein Wasserzeichen.
Beschreibungen
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.
<SUB>
<P>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. </P>
<P></P>
<P>The book is self-contained and appended with a comprehensive and up-to-date list of references. It is of interest to a broad audience of graduate students and researchers specialized in pure mathematics.</P></SUB>
<P>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. </P>
<P></P>
<P>The book is self-contained and appended with a comprehensive and up-to-date list of references. It is of interest to a broad audience of graduate students and researchers specialized in pure mathematics.</P></SUB>
Self-contained, appended with a comprehensive and up-dated list of references Proves challenging open problems in studying Diophantine approximation and Nevanlinna theory Authors' research activities over the past eight years collected in this book Includes supplementary material: sn.pub/extras
Diese Produkte könnten Sie auch interessieren:
