1.

Record Nr.

UNINA9910782770803321

Autore

Hu Pei-Chu

Titolo

Distribution theory of algebraic numbers [[electronic resource] /] / by Pei-Chu Hu and Chung-Chun Yang

Pubbl/distr/stampa

Berlin ; ; New York, : Walter de Gruyter, 2008

ISBN

1-281-99349-2

9786611993498

3-11-020826-1

Descrizione fisica

1 online resource (540 p.)

Collana

De Gruyter expositions in mathematics, , 0938-6572 ; ; 45

Classificazione

SK 180

Altri autori (Persone)

YangChung-Chun <1942->

Disciplina

512.73

Soggetti

Diophantine approximation

Nevanlinna theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. [495]-510) and index.

Nota di contenuto

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

Sommario/riassunto

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.