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Distribution theory of algebraic numbers / by Pei-Chu Hu and Chung-Chun Yang.
- Format:
- Book
- Author/Creator:
- Hu, Pei-Chu.
- Series:
- De Gruyter expositions in mathematics ; 45.
- De Gruyter expositions in mathematics, 0938-6572 ; 45
- Language:
- English
- Subjects (All):
- Diophantine approximation.
- Nevanlinna theory.
- Physical Description:
- 1 online resource (540 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Berlin ; New York : Walter de Gruyter, 2008.
- Language Note:
- English
- Summary:
- The book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals with the approximation of real numbers by rational numbers. The book is appended with a list of challenging open problems and a comprehensive list of references. From the contents: Field extensions Algebraic numbers Algebraic geometry Height functions The abc-conjecture Roth's theorem Subspace theorems Vojta's conjectures L-functions.
- Contents:
- Frontmatter
- Contents
- Chapter 1. Field extensions
- Chapter 2. Algebraic numbers
- Chapter 3. Algebraic geometry
- Chapter 4. Height functions
- Chapter 5. The abc-conjecture
- Chapter 6. Roth's theorem
- Chapter 7. Subspace theorems
- Chapter 8. Vojta's conjectures
- Chapter 9. L-functions
- Backmatter
- Notes:
- Description based upon print version of record.
- Includes bibliographical references (p. [495]-510) and index.
- ISBN:
- 9786611993498
- 9781281993496
- 1281993492
- 9783110208269
- 3110208261
- OCLC:
- 476275877
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