On <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="italic">SL</mml:mi><mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>+</mml:mo></mml:msub></mml:math>-orbits on <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math> and positive integral solutions of linear inequalities-Reference-Cited by-同舟云学术

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On SL(n,Z)+-orbits on Rn and positive integral solutions of linear inequalities

Published:2009-10 Issue:10 Volume:129 Page:2526-2529
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Dani S.G.,Nogueira Arnaldo

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference5 articles.

1. Density properties of orbits under discrete groups;Dani;J. Indian Math. Soc. (N.S.),1975

2. Dynamical systems on homogeneous spaces;Dani,2000

3. On orbits of SL(2,,Z)+ and values of binary quadratic forms on positive integral pairs;Dani;J. Number Theory,2002

4. Orbits of Euclidean frames under discrete linear groups;Dani;Israel J. Math.,1980

5. Orbit distribution on R2 under the natural action of SL(2,Z);Nogueira;Indag. Math. (N.S.),2002

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Barnes-Hurwitz zeta cocycle on PGL2(Q);Journal of Number Theory;2022-12

2. Classifying GL$(n,\mathbb{Z})$-orbits of points and rational subspaces;Discrete and Continuous Dynamical Systems;2016-05

3. Dani’s work on dynamical systems on homogeneous spaces;Recent Trends in Ergodic Theory and Dynamical Systems;2015

4. Approximation to points in the plane by SL (2, ℤ)-orbits;Journal of the London Mathematical Society;2012-01-30

5. Inhomogeneous approximation with coprime integers and lattice orbits;Acta Arithmetica;2012

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