Gorodnik A.Kadyrov Sh.2025-08-182025-08-182014Gorodnik A , Kadyrov Sh / DIOPHANTINE APPROXIMATION WITH RESTRICTED NUMERATORS AND DENOMINATORS ON SEMISIMPLE GROUPS / arXivLabs / 2014https://repository.sdu.edu.kz/handle/123456789/1886We 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 a prescribed denominator and an almost prime numerator.endiophantine approximationEPSRCintegrability exponentArticle