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Scuola Normale Superiore eBooks· 2014· Book chapter

Über einige Anwendungen diophantischer Approximationen

Carl Ludwig Siegel

Short summary

The pigeonhole principle, a generalization of the Euclidean algorithm, is shown to be the source of important arithmetic laws, specifically concerning the approximation of zero by linear combinations of numbers.

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Field: Geometry and Topology

Geometry and TopologyMathematics