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- W2023709082 abstract "For q ∈(1,2), Erdös, Joó and Komornik studied the set: Y m (q)≔{a n q n +⋯+a 0 : a i ∈{0,…,m}, n∈ N }={0=y 0 <y 1 <y 2 <y 3 <⋯}. One item of interest that they examined is gap sizes of the form y k +1 − y k . In particular, they were interested in l m (q)≔ lim inf (y k+1 −y k ) and L m (q)≔ lim sup (y k+1 −y k ) . This paper studies the distribution of the gap sizes y k +1 − y k of sets Y m ( q ). The techniques of Feng and Wen are extended to study the frequency of various gap sizes. Some computations are made for various q . A precise description of the gap frequencies in Y m ( q ) is given when q is the golden ratio." @default.
- W2023709082 created "2016-06-24" @default.
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- W2023709082 date "2004-04-01" @default.
- W2023709082 modified "2023-09-29" @default.
- W2023709082 title "The structure of the spectra of Pisot numbers" @default.
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- W2023709082 doi "https://doi.org/10.1016/j.jnt.2003.10.001" @default.
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