EAN: 9788876425196

ON SOME APPLICATIONS OF DIOPHANTINE APPROXIMATI...

This book consists mainly of the translation  by C. Fuchs  of the 1929 landmark paper Uber
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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