Federer Measures, Good and Nonplanar Functions of Metric Diophantine Approximation

Faiza Akram (Departement of Mathematics, School of Science, Nanjing University of Science and Tecnhology)
Dongsheng Liu (Departement of Mathematics, School of Science, Nanjing University of Science and Tecnhology)

International Journal of Advances in Applied Sciences
Vol 6, No 2: June 2017

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.