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Abstract
We prove the density of the sets of the form ${{\lambda}_1^m {\mu}_1^n {\xi}_1 +...+{\lambda}_k^m {\mu}_k^n {\xi}_k : m,n \in \mathbb N}$ modulo one, where $\lambda_i$ and $\mu_i$ are multiplicatively independent algebraic numbers satisfying some additional assumptions. The proof is based on analysing dynamics of higherrank actions on compact abelean groups.
Translated title of the contribution  Algebraic Numbers, Hyperbolicity, and Density Modulo One 

Original language  English 
Number of pages  12 
Journal  Journal of Number Theory 
DOIs  
Publication status  Published  2012 
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Dive into the research topics of 'Algebraic Numbers, Hyperbolicity, and Density Modulo One'. Together they form a unique fingerprint.Projects
 1 Finished

Dynamics of large Group Actions, Rigidity and Diophantine Geometry
Gorodnik, A.
1/02/10 → 1/02/13
Project: Research