Titlebook: On Some Applications of Diophantine Approximations; A translation of C.L Umberto Zannier Book 2014 The Editor(s) (if applicable) and The Au

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薄荷醇

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978-88-7642-519-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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On Some Applications of Diophantine Approximations978-88-7642-520-2Series ISSN 2239-1460 Series E-ISSN 2532-1668

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Publications of the Scuola Normale Superiorehttp://image.papertrans.cn/o/image/701075.jpg

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https://doi.org/10.1007/978-88-7642-520-2Siegel‘s theorem; diophantine analysis; transcendence theory

CLASP

On some applications of Diophantine approximations, two objects, gives rise to a generalization of the Euclidean algorithm, which by investigations due to D., H. and M. turned out to be the source of important arithmetic laws. In particular it implies a statement on how precisely the number 0 can be at least approximated by a linear combination

雪白

,über einige Anwendungen diophantischer Approximationen,sind, enth?lt eine Verallgemeinerung des euklidischen Algorithmus, welche sich durch die Untersuchungen von D., H. und M. als die Quelle wichtiger arithmetischer Gesetze erwiesen hat. Sie liefert speziell eine Aussage darüber, wie genau sich . die Zahl o durch eine lineare Verbindung