On Some Applications of Diophantine Approximations / Najlacnejšie knihy
On Some Applications of Diophantine Approximations

Kod: 09076382

On Some Applications of Diophantine Approximations

Autor Umberto Zannier

This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper "Über einige Anwendungen diophantischer Approximationen" by C.L. Siegel. The paper contains proofs of most important results in transcendence th ... więcej

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Opis

This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper "Über 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.

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Kategoria Książki po angielsku Mathematics & science Mathematics Number theory

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