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On simultaneous diophantine approximations. Vectors of given diophantine type |
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| Authors: | N G Moshchevitin |
| Institution: | (1) M. V. Lomonosov Moscow State University, Moscow, USSR |
| Abstract: | For any monotone functionψ(y)=O(y 1/s), we prove the existence of a continual family of vectors (α1...,αs) admitting infinitely many simultaneous ψ-approximations, but nocψ-approximations with some constantc>0. Translated fromMatematicheskie Zametki, Vol. 61, No. 5, pp. 706–716, May, 1997. Translated by S. K. Lando |
| Keywords: | simultaneous Diophantine approximation ψ -approximation parallelepiped stretching algorithm Minkowski-Voronoi chain |
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