Nevanlinna theory and its relation to Diophantine approximation / Min Ru.

Format:

Book

Author/Creator:

Ru, Min.

Language:

English

Subjects (All):

Diophantine approximation.

Nevanlinna theory.

Physical Description:

1 online resource (340p.)

Edition:

1st ed.

Place of Publication:

Singapore ; River Edge, N.J. : World Scientific, c2001.

Language Note:

English

Summary:

An introduction to both Nevanlinna theory and Diophantine approximation, with emphasis on the analogy between these two subjects. Each chapter covers both subjects, and a table is provided at the end of each chapter to indicate the correspondence of theorems.

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:

Nevanlinna Theory for Meromorphic Functions and Roth's Theorem; Holomorphic Curves into Compact Riemann Surfaces and Theorems of Siegel, Roth, and Faltings; Holomorphic Curves in Pn(C) and Schmidt's Sub-Space Theorem; The Moving Target Problems; Equi-Dimensional Nevanlinna Theory and Vojta's Conjecture; Holomorphic Curves in Abelian Varieties and the Theorem of Faltings; Complex Hyperbolic Manifolds and Lang's Conjecture.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (p. 305-314) and index.

ISBN:

9786611956196

9781281956194

1281956198

9789812810519

981281051X

OCLC:

815755917