Dongsheng Liu
Departement of Mathematics, School of Science, Nanjing University of Science and Tecnhology

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Federer Measures, Good and Nonplanar Functions of Metric Diophantine Approximation Faiza Akram; Dongsheng Liu
International Journal of Advances in Applied Sciences Vol 6, No 2: June 2017
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (581.289 KB) | DOI: 10.11591/ijaas.v6.i2.pp117-125

Abstract

The goal of this paper is to generalize the main results of [1] and subsequent papers on metric Diophantine approximation with dependent quantities to the set-up of systems of linear forms. In particular, we establish “joint strong extremality” of arbitrary finite collection of smooth nondegenerate submani- folds of .The proof was based on quantitative nondivergence estimates for quasi-polynomial flows on the space of lattices.