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1 Research Center on Aging and Medicine, Fudan University, Shanghai Key 9 Laboratory of Bioactive Small Molecules, Department of Physiology and 10 Pathophysiology, Shanghai Medical College, Fudan University, Shanghai, China 11 2 Department of Physiology, Hainan Medical College, Haikou, Hainan 571101, China 12 3 Department of Pharmacology, School of Pharmacy, Fudan University, Shanghai, 13 China...

— We study real numbers β with the curious property that the β-expansion of all sufficiently small positive rational numbers is purely periodic. It is known that such real numbers have to be Pisot numbers which are units of the number field they generate. We complete known results due to Akiyama to characterize algebraic numbers of degree 3 that enjoy this property. This extends results previou...

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We study real numbers β with the curious property that the β-expansion of all sufficiently small positive rational numbers is purely periodic. It is known that such real numbers have to be Pisot numbers which are units of the number field they generate. We complete known results due to Akiyama to characterize algebraic numbers of degree 3 that enjoy this property. This extends results previousl...

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SFI WORKING PAPER: 1996-12-086 SFI Working Papers contain accounts of scientific work of the author(s) and do not necessarily represent the views of the Santa Fe Institute. We accept papers intended for publication in peer-reviewed journals or proceedings volumes, but not papers that have already appeared in print. Except for papers by our external faculty, papers must be based on work done at ...