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Nevanlinna theory and its relation to Diophantine approximation /

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 int...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ru, Min
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; River Edge, NJ : World Scientific, ©2001.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Nevanlinna theory and its relation to Diophantine approximation /  |c Min Ru. 
260 |a Singapore ;  |a River Edge, NJ :  |b World Scientific,  |c ©2001. 
300 |a 1 online resource (xiii, 323 pages) :  |b illustrations 
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504 |a Includes bibliographical references (pages 305-314) and index. 
588 0 |a Print version record. 
520 |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. 
505 0 |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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650 0 |a Nevanlinna theory. 
650 0 |a Diophantine approximation. 
650 6 |a Théorie de Nevanlinna. 
650 6 |a Approximation diophantienne. 
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650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Diophantine approximation  |2 fast 
650 7 |a Nevanlinna theory  |2 fast 
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