标题： 在半单群上限制分子和分母的丢番图逼近 显示英文标题

标题： Diophantine approximation with restricted numerators and denominators on semisimple groups

摘要： 我们考虑通过分子和分母受限的有理点在半单代数群上的丢番图逼近问题，并建立一个定量的逼近结果，即对于群中的所有实点，可以用任何指定的分母和几乎素数的分子的有理点进行逼近。 显示英文摘要

摘要： We consider the problem of Diophantine approximation on semisimple algebraic groups by rational points with restricted numera- tors 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.