Items related to Value Distribution Theory Related to Number Theory
Synopsis
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.
"synopsis" may belong to another edition of this title.
From the Back Cover
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.
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.
Review
From the reviews:
“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)
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- PublisherBirkhäuser
- Publication date2006
- ISBN 10 376437568X
- ISBN 13 9783764375683
- BindingHardcover
- LanguageEnglish
- Number of pages554
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 556 pp. Englisch. Seller Inventory # 9783764375683
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. 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. Seller Inventory # 9783764375683
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 t. Seller Inventory # 449594042
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