On numbers having finite beta-expansions
2009 ◽
Vol 29
(5)
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pp. 1659-1668
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AbstractLet β be a real number greater than one, and let ℤβ be the set of real numbers which have a zero fractional part when expanded in base β. We prove that β is a Pisot number when the set ℕβ−ℕβ−ℕβ is discrete, where ℕβ=ℤβ∩[0,∞[. We also give partial answers to some related open problems, and in particular, we show that β is a Pisot number when a sum ℤβ+⋯+ℤβ is a Meyer set.
2011 ◽
Vol 54
(1)
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pp. 127-132
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Keyword(s):
2007 ◽
Vol Vol. 9 no. 1
(Analysis of Algorithms)
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Keyword(s):
2018 ◽
Vol 7
(1)
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pp. 77-83
Keyword(s):
Keyword(s):
Keyword(s):
2018 ◽
Vol 14
(07)
◽
pp. 1903-1918
2016 ◽
Vol 215
(3)
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pp. 323-340
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