Geodesic
The generalization of Jarník’s identity
Wolfgang M. Schmidt 1   ; Leonhard Summerer 2
1 Department of Mathematics University of Colorado Boulder, CO 80309-0395, U.S.A.
2 Fakultät für Mathematik der Universität Wien Oskar-Morgenstern-Platz 1 1090 Wien, Austria
Acta Arithmetica, Tome 175 (2016) no. 2, pp. 119-136 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We will give a new proof, using the Parametric Geometry of Numbers, for remarkable inequalities of O. German which generalize the classical Jarník identity on simultaneous approximation. We will also show that these inequalities are best possible.
DOI : 10.4064/aa8316-5-2016
Keywords: proof using parametric geometry numbers remarkable inequalities german which generalize classical jarn identity simultaneous approximation these inequalities best possible

Wolfgang M. Schmidt  1   ; Leonhard Summerer  2

1 Department of Mathematics University of Colorado Boulder, CO 80309-0395, U.S.A.
2 Fakultät für Mathematik der Universität Wien Oskar-Morgenstern-Platz 1 1090 Wien, Austria 
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     title = {The generalization of {Jarn{\'\i}k{\textquoteright}s} identity},
     journal = {Acta Arithmetica},
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Wolfgang M. Schmidt; Leonhard Summerer. The generalization of Jarník’s identity. Acta Arithmetica, Tome 175 (2016) no. 2, pp. 119-136. doi: 10.4064/aa8316-5-2016

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