| Description |
1 online resource (xiii, 323 pages) : illustrations |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references (pages 305-314) and index. |
| Summary |
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. |
| Contents |
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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Nevanlinna theory.
|
|
Nevanlinna theory. |
|
Diophantine approximation.
|
|
Diophantine approximation. |
| Genre/Form |
Electronic books.
|
|
Electronic books.
|
| Other Form: |
Print version: Ru, Min. Nevanlinna theory and its relation to Diophantine approximation. Singapore ; River Edge, NJ : World Scientific, ©2001 9810244029 9789810244026 (DLC) 2001017930 (OCoLC)46500854 |
| ISBN |
9789812810519 (electronic book) |
|
981281051X (electronic book) |
|
1281956198 |
|
9781281956194 |
|
9789810244026 |
|
9810244029 (alkaline paper) |
|
