Diophantine approximation with restricted numerators and denominators on semisimple groups
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Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Journal de Théorie des Nombres de Bordeaux 29
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 a prescribed denominator and an almost prime numerator.
Description
Keywords
denominators, diophantine approximation, semisimple algebra
Citation
Kadyrov Sh , Gorodnik A / Diophantine approximation with restricted numerators and denominators on semisimple groups / Journal de Théorie des Nombres de Bordeaux 29 / 2017