Abstract
In response to a question of R. Kenyon, we prove that the set of polynomials with coefficients ±1, evaluated at a fixed real number θ, is dense in R for a.e. θ∈(2, 2). For θ∈(1, 2], a more complete result can be obtained by elementary methods.
Original language | English |
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Pages (from-to) | 185-198 |
Number of pages | 14 |
Journal | Journal of Number Theory |
Volume | 84 |
Issue number | 2 |
DOIs | |
State | Published - Oct 2000 |
Externally published | Yes |
Bibliographical note
Funding Information:1Research partially supported by NSF Grant DMS-9803597. 2Research supported in part by NSF Grant DMS 9800786 and the Fulbright foundation.
Funding
Funders | Funder number |
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Directorate for Mathematical and Physical Sciences | 9800786, 9803597 |
Keywords
- Pisot numbers
- Polynomial approximation
- digit expansions