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Multi-dimensional metric approximation by primitive points

DSpace at IIT Bombay

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Title Multi-dimensional metric approximation by primitive points
 
Creator DANI, SG
LAURENT, M
NOGUEIRA, A
 
Subject DIOPHANTINE APPROXIMATION
HOMOGENEOUS SPACES
FLOWS
LAWS
Diophantine approximation
Metrical number theory
Primitive points
Ergodic theory
 
Description We consider diophantine inequalities of the form , with , , where , and is a function on with positive real values, seeking integral solutions and for which the restriction of the vector to the components of a given partition are primitive integer points. In this setting, we establish metrical statements in the style of the Khintchine-Groshev Theorem. Similar solutions are considered for the doubly metrical inequality , with (other notations as before). The results involve the conditions that be non-increasing, and that the components of have at least elements each.
 
Publisher SPRINGER HEIDELBERG
 
Date 2016-01-14T10:56:05Z
2016-01-14T10:56:05Z
2015
 
Type Article
 
Identifier MATHEMATISCHE ZEITSCHRIFT, 279(42067)1081-1101
0025-5874
1432-1823
http://dx.doi.org/10.1007/s00209-014-1404-5
http://dspace.library.iitb.ac.in/jspui/handle/100/17413
 
Language en