DIOPHANTINE APPROXIMATION WITH RESTRICTED NUMERATORS AND DENOMINATORS ON SEMISIMPLE GROUPS
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Date
2014
Authors
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Publisher
arXivLabs
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
diophantine approximation, EPSRC, integrability exponent
Citation
Gorodnik A , Kadyrov Sh / DIOPHANTINE APPROXIMATION WITH RESTRICTED NUMERATORS AND DENOMINATORS ON SEMISIMPLE GROUPS / arXivLabs / 2014