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Value Distribution Theory Related to Number Theory / by Pei-Chu Hu, Chung-Chun Yang
版 | 1st ed. 2006. |
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出版者 | (Basel : Birkhäuser Basel : Imprint: Birkhäuser) |
出版年 | 2006 |
本文言語 | 英語 |
大きさ | XI, 543 p : online resource |
著者標目 | *Hu, Pei-Chu author Yang, Chung-Chun author SpringerLink (Online service) |
件 名 | LCSH:Number theory LCSH:Functional analysis LCSH:Functions of complex variables FREE:Number Theory FREE:Functional Analysis FREE:Functions of a Complex Variable |
一般注記 | 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 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 HTTP:URL=https://doi.org/10.1007/3-7643-7569-8 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783764375690 |
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EB00236484 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA241-247.5 DC23:512.7 |
書誌ID | 4000117862 |
ISBN | 9783764375690 |
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