Elementary proof of Furstenberg’s Diophantine result
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- by Michael D. Boshernitzan PDF
- Proc. Amer. Math. Soc. 122 (1994), 67-70 Request permission
Abstract:
We present an elementary proof of a diophantine result (due to H. Furstenberg) which asserts (in a special case) that for every irrational $\alpha$ the set $\{ {2^m}{3^n}\alpha |m,n \geq 0\}$ is dense modulo 1. Furstenberg’s original proof employs the theory of disjointness of topological dynamical systems.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 67-70
- MSC: Primary 11K31
- DOI: https://doi.org/10.1090/S0002-9939-1994-1195714-X
- MathSciNet review: 1195714