Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  805.11011
Autor:  Erdös, Paul; Joó, I.
Title:  On the number of expansions 1 = sum q-ni. (In English)
Source:  Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 35, 129-132 (1992).
Review:  The authors prove the following theorem: For every n \geq 1 there exist 2\aleph0 many q in (1,2) such that 1 has exactly n+1 expansions of the form 1 = sumooi = 1 \epsiloni/qi, where the digits \epsiloni can be 0 or 1. [For part II see the review below].
Reviewer:  L.Tóth (Cluj)
Classif.:  * 11A67 Representation systems for integers and rationals
Keywords:  expansions in non-integer bases
Citations:  Zbl.805.11012

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