Diophantine Approximations and Diophantine Equations. 1st ed. 1991

種類:

電子ブック

責任表示:

by Wolfgang M. Schmidt

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1991

著者名:

• Schmidt, Wolfgang M.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1467

ISBN:

9783540473749 [3540473742]    

注記:

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

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