Algebraic numbers, hyperbolicity, and density modulo one
Copyright policy )Algebraic numbers, hyperbolicity, and density modulo one
We prove the density of the sets of the form ${��_1^m ��_1^n ��_1 +...+��_k^m ��_k^n ��_k : m,n \in \mathbb N}$ modulo one, where $��_i$ and $��_i$ are multiplicatively independent algebraic numbers satisfying some additional assumptions. The proof is based on analysing dynamics of higher-rank actions on compact abelean groups.
- University of Bristol United Kingdom
- University of Bristol (UoB) United Kingdom
Multiplicatively independent numbers, Algebra and Number Theory, Mathematics - Number Theory, Density modulo one, FOS: Mathematics, Compact abelian group, Higher-rank abelian action, Dynamical Systems (math.DS), Number Theory (math.NT), Mathematics - Dynamical Systems, 510
Multiplicatively independent numbers, Algebra and Number Theory, Mathematics - Number Theory, Density modulo one, FOS: Mathematics, Compact abelian group, Higher-rank abelian action, Dynamical Systems (math.DS), Number Theory (math.NT), Mathematics - Dynamical Systems, 510
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