Diophantine approximation with restricted numerators and denominators on semisimple groups

2012/05/02 by Gorodnik, Alexander, Kadyrov, Shirali
#Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1205.0416

Abstract

We consider the problem of Diophantine approximation on semisimple algebraic groups by rational points with restricted numerators and denominators and establish a quantitative approximation result for all real points in the group by rational points with any prescribed denominator and an almost prime numerator.

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