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SUMMARY:Multi-dimensional metric approximation by primitive points - Dani\
 , S G (Indian Institute of Technology)
DTSTART:20140704T123000Z
DTEND:20140704T132000Z
UID:TALK53311@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider Diophantine inequalities of the form $| Theta {f 
 q} + {f p} - {f y} |leq psi(| {f q} |)$\, with $Theta$ is a $n	imes m$ 
 matrix with real entries\, ${f y} in mathbb R^n$\, $m\,nin {f N}$\, and 
 $psi$ is a function on ${f N}$ with positive real values\, and seek integ
 ral solutions ${f v} =({f q}\, {f p})^t$ for which the restriction of $
 {f v}$ to the components of a given partition $pi$ are primitive integer 
 points. In this setting\, we shall discuss metrical results in the style o
 f the Khintchine-Groshev Theorem. Solutions for analogous doubly metrical 
 inequalities will also be discussed.\n
LOCATION:Seminar Room 1\, Newton Institute
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