Frougny, Christiane; Solomyak, Boris On the context-freeness of the \(\theta\)-expansions of the integers. (English) Zbl 1041.11008 Int. J. Algebra Comput. 9, No. 3-4, 347-350 (1999). Summary: Let \(\theta >1\) be a nonintegral real number such that the \(\theta\)-expansion of every positive integer is finite. If the set of \(\theta\)-expansions of all the positive integers is a context-free language, then \(\theta\) must be a quadratic Pisot unit. Cited in 2 Documents MSC: 11A63 Radix representation; digital problems 11R06 PV-numbers and generalizations; other special algebraic numbers; Mahler measure 68Q45 Formal languages and automata PDFBibTeX XMLCite \textit{C. Frougny} and \textit{B. Solomyak}, Int. J. Algebra Comput. 9, No. 3--4, 347--350 (1999; Zbl 1041.11008) Full Text: DOI References: [1] DOI: 10.1017/S0143385700007057 · Zbl 0814.68065 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.