Distribution Theory of Algebraic Numbers ( De Gruyter Expositions in Mathematics )

Publication series :De Gruyter Expositions in Mathematics

Author: Pei-Chu Hu   Chung-Chun Yang  

Publisher: De Gruyter‎

Publication year: 2008

E-ISBN: 9783110208269

P-ISBN(Paperback): 9783110205367

Subject: O156.7 Diophantine analysis (Diophantine theory)

Keyword: Algebraic Numbers Algebraic Geometry Elliptic Curves

Language: ENG

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Description

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic.

Editorial Board

Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil
Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia
Walter D. Neumann, Columbia University, New York, USA
Markus J. Pflaum, University of Colorado, Boulder, USA
Dierk Schleicher, Jacobs University, Bremen, Germany

Chapter

Frontmatter

pp.:  1 – 1

Contents

pp.:  1 – 7

Chapter 1. Field extensions

pp.:  7 – 13

Chapter 2. Algebraic numbers

pp.:  13 – 103

Chapter 3. Algebraic geometry

pp.:  103 – 142

Chapter 4. Height functions

pp.:  142 – 251

Chapter 5. The abc-conjecture

pp.:  251 – 316

Chapter 6. Roth’s theorem

pp.:  316 – 340

Chapter 7. Subspace theorems

pp.:  340 – 372

Chapter 8. Vojta’s conjectures

pp.:  372 – 427

Chapter 9. L-functions

pp.:  427 – 446

Backmatter

pp.:  446 – 507

LastPages

pp.:  507 – 541

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