Federer Measures, Good and Nonplanar Functions of Metric Diophantine Approximation

Faiza Akram, Dongsheng Liu


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.

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DOI: http://doi.org/10.11591/ijaas.v6.i2.pp117-125


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International Journal of Advances in Applied Sciences (IJAAS)
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