ebook9788876425202d4325

Description

This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper “√úber einige Anwendungen diophantischer Approximationen” by C.L. Siegel. The paper contains proofs of most important results in transcendence theory and diophantine analysis, notably Siegel‚Äôs celebrated theorem on integral points on algebraic curves. Many modern versions of Siegel‚Äôs proof have appeared, but none seem to faithfully reproduce all features of the original one.¬†This translation makes Siegel‚Äôs 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‚Äôs paper. To end, it presents three modern proofs of Siegel‚Äôs theorem on integral points.