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On Some Applications of Diophantine Approximations - A translation of C.L. Siegel's UEber einige Anwendungen diophantischer Approximationen, with a commentary by C. Fuchs and U. Zannier) (Paperback, 2014 ed.)
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On Some Applications of Diophantine Approximations - A translation of C.L. Siegel's UEber einige Anwendungen diophantischer Approximationen, with a commentary by C. Fuchs and U. Zannier) (Paperback, 2014 ed.)
Series: Publications of the Scuola Normale Superiore, 2
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This book consists mainly of the translation, by C. Fuchs, of the
1929 landmark paper "UEber einige Anwendungen diophantischer
Approximationen" by C.L. Siegel. The paper contains proofs of most
important results in transcendence theory and diophantine analysis,
notably Siegel's celebrated theorem on integral points on algebraic
curves. Many modern versions of Siegel's proof have appeared, but
none seem to faithfully reproduce all features of the original one.
This translation makes Siegel's original ideas and proofs available
for the first time in English. The volume also contains the
original version of the paper (in German) and an article by the
translator and U. Zannier, commenting on some aspects of the
evolution of this field following Siegel's paper. To end, it
presents three modern proofs of Siegel's theorem on integral
points.
General
| Imprint: |
Scuola Normale Superiore
|
| Country of origin: |
Italy |
| Series: |
Publications of the Scuola Normale Superiore, 2 |
| Release date: |
2015 |
| First published: |
2014 |
| Editors: |
Umberto Zannier
|
| Dimensions: |
235 x 155 x 15mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
157 |
| Edition: |
2014 ed. |
| ISBN-13: |
978-88-7642-519-6 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Number theory >
General
Promotions
|
| LSN: |
88-7642-519-5 |
| Barcode: |
9788876425196 |
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