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|a Ru, Min.
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|a Nevanlinna theory and its relation to Diophantine approximation /
|c Min Ru.
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|a Singapore ;
|a River Edge, NJ :
|b World Scientific,
|c ©2001.
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|a 1 online resource (xiii, 323 pages) :
|b illustrations
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|a text
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|a Includes bibliographical references (pages 305-314) and index.
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|a Print version record.
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|a It was discovered recently that Nevanlinna theory and Diophantine approximation bear striking similarities and connections. This book provides an introduction to both Nevanlinna theory and Diophantine approximation, with emphasis on the analogy between these two subjects. Each chapter is divided into part A and part B. Part A deals with Nevanlinna theory and part B covers Diophantine approximation. At the end of each chapter, a table is provided to indicate the correspondence of theorems.
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|a Ch. 1. Nevanlinna theory for meromorphic functions and Roth's theorem. pt. A. Nevanlinna theory. pt. B. Diophantine approximation -- ch. 2. Holomorphic curves into compact Riemann surfaces and theorems of Siegel, Roth and Faltings. pt. A. Nevanlinna theory. pt. B. Diophantine approximation -- ch. 3. Holomorphic curves in Pn(C) and Schmidt's subspace theorem. pt. A. Nevanlinna theory. pt. B. Diophantine approximation -- ch. 4. The moving target problems. pt. A. Nevanlinna theory. pt. B. Diophantine approximation -- ch. 5. Equi-dimensional Nevanlinna theory and Vojta's conjecture. pt. A. Nevanlinna theory. pt. B. Diophantine approximation -- ch. 6. Holomorphic curves in abelian varieties and the theorem of Faltings. pt. A. Nevanlinna theory. pt. B. Diophantine approximation -- ch. 7. Complex hyperbolic manifolds and Lang's conjecture. pt. A. Nevanlinna theory. pt. B. Diophantine approximation.
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
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|a Nevanlinna theory.
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|a Diophantine approximation.
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|a Théorie de Nevanlinna.
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|a Approximation diophantienne.
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|a MATHEMATICS
|x Calculus.
|2 bisacsh
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|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
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|
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|a Diophantine approximation
|2 fast
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|
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|a Nevanlinna theory
|2 fast
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|a Diofantische benadering.
|2 gtt
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|i has work:
|a Nevanlinna theory and its relation to Diophantine approximation (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCFPv8CfrRRMF6GtrMBGd33
|4 https://id.oclc.org/worldcat/ontology/hasWork
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8 |
|i Print version:
|a Ru, Min.
|t Nevanlinna theory and its relation to Diophantine approximation.
|d Singapore ; River Edge, NJ : World Scientific, ©2001
|z 9810244029
|z 9789810244026
|w (DLC) 2001017930
|w (OCoLC)46500854
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1681650
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