Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 787.11002
Autor: Erdös, Paul; Joó, M.; Joó, I.
Title: On a problem of Tamas Varga. (In English)
Source: Bull. Soc. Math. Fr. 120, No.4, 507-521 (1992).
Review: The authors investigate properties of the expansion of 1 to base q where 1 < q < 2. In part 1 they investigate the class of q for which the length of consecutive 0 digits in the expansion is not bounded. In part 2 they investigate properties of the sets An = An(q) = \left{sumi = 0n-1\epsiloni qi, \epsiloni = 0{or} 1\right}, n = 1,2,... In part 3 they study the digit distribution of the greedy expansion of almost all x, with 0 < x < 1 to base q.
Reviewer: A.Knopfmacher (Wits)
Classif.: * 11A63 Radix representation
11K16 Normal numbers, etc.
00A07 Problem books
Keywords: digit expansions; distribution of digits; greedy expansion
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