Value distribution theory related to number 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 fin...

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Détails bibliographiques
Auteurs principaux: Hu, Pei-Chu, 19..-, Yang, Chung-Chun, 1942-...., mathématicien (Auteur)
Format: Livre numérique
Langue:Anglais
Publié: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Édition:1st ed. 2006.
Sujets:
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Note: Description d'après consultation du 02 mai 2011
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Edition sous un autre format:• Value Distribution Theory Related to Number Theory, Texte imprimé, 9783764391232
• Value distribution theory related to number theory, Pei-Chu Hu, Chung-Chun Yang, Basel, Birkhäuser, 2006, 1 vol. (XI-543 p.), 3-7643-7568-X
Description
Résumé: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.
Description:Description d'après consultation du 02 mai 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliographie:Bibliogr. p. [507]-527. Index
ISBN:3764375167
9783764375690
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Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017