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New structural properties of strings generated by leading digits of \(2^ n\). (English) Zbl 0529.60015

MSC:
60E99 Distribution theory
11K16 Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.
82B05 Classical equilibrium statistical mechanics (general)
94A15 Information theory (general)
68R10 Graph theory (including graph drawing) in computer science
11A63 Radix representation; digital problems
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References:
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[14] Rajagopal, A.K.; Sitharama Iyengar, S.; Yellayi, Mohan, Statistical properties of strings generated by first digits of powers of two, Bit, (Sept. 1981), submitted for publication
[15] J. Robertson, V. R. R. Uppuluri, and A. K. Rajapogal, First digit phenomna and ergodic theory, to be submitted to J. Combin. Theory Ser. B. · Zbl 0529.10008
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[20] S. Sitharama Iyengar, A. K. Rajagopal, and V. R. R. Uppuluri, String patterns of leading digits, J. Appl. Math. and Comp. (in press). · Zbl 0513.68036
[21] S. Sitharama Iyengar, A. K. Rajagopal, and Frank Ramos, On the distribution of string sequences of leading digits, J. Comb. Syst. Inf. Theory (in press). · Zbl 0529.60014
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