1.

Record Nr.

UNISA996466473003316

Autore

Schmidt Wolfgang M. <1933->

Titolo

Diophantine approximations and diophantine equations / / Wolfgang M. Schmidt

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer-Verlag, , [1996]

©1996

ISBN

3-540-47374-2

Edizione

[1st ed. 1991.]

Descrizione fisica

1 online resource (VIII, 224 p.)

Collana

Lecture Notes in Mathematics ; ; 1467

Classificazione

11Dxx

11Jxx

Disciplina

512.73

Soggetti

Diophantine approximation

Diophantine equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Siegel’s lemma and heights -- Diophantine approximation -- The thue equation -- S-unit equations and hyperelliptic equations -- Diophantine equations in more than two variables.

Sommario/riassunto

"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In particular, Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included. The book will be useful for graduate students and researchers." (L'Enseignement Mathematique) "The rich Bibliography includes more than hundred references. The book is easy to read, it may be a useful piece of reading not only for experts but for students as well." Acta Scientiarum Mathematicarum.