On number systems with negative digits
نویسندگان
چکیده
منابع مشابه
Positional Number Systems with Digits Forming an Arithmetic Progression
Abstract. A novel digit system that arises in a natural way in a graph-theoretical problem is studied. It is defined by a set of positive digits forming an arithmetic progression and, necessarily, a complete residue system modulo the base b. Since this is not enough to guarantee existence of a digital representation, the most significant digit is allowed to come from an extended set. We provide...
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1. J. C. Butcher. "On a Conjecture Concerning a Set of Sequences Satisfying The Fibonacci Difference Equation/ The Fibonacci Quarterly 16 (1978):8183. 2. M. D. Hendy, "Stolarskys Distribution of Positive Integers." The Fibonacci Quarterly 16 (1978)2 70-80. 3. V. E. HoggattsJr. Fibonacci and Lucas Numbers* Boston: Houghton Mifflin9 1969. Pp. 34-35. 4. K. Stolarsky. "A Set of Generalized Fibonacc...
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For irrational β > 1 we consider the set Fin(β) of real numbers for which |x| has a finite number of non-zero digits in its expansion in base β. In particular, we consider the set of β-integers, i.e. numbers whose β-expansion is of the form ∑n i=0 xiβ , n ≥ 0. We discuss some necessary and some sufficient conditions for Fin(β) to be a ring. We also describe methods to estimate the number of fra...
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ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Series A I Mathematica
سال: 1989
ISSN: 0066-1953
DOI: 10.5186/aasfm.1989.1411