A bound on Kaprekar constants.
A combinatorial method for construction normal numbers.
A conjecture on digital cycles.
A decision method for the recognizability of sets defined by number systems
A generalization of a theorem by Cheo and Yien concerning digital sums.
A generalization of Hasse's generalization of the Syracuse algorithm
A Good Basis for Computing with Complex Numbers.
A Markov approach to the generalized Syracuse algorithm
A negative answer to two questions about the smallest prime numbers having given digital sums.
A New Infinite Product Representation for Real Numbers.
A note on linear recurrent Mahler numbers.
A note on the parity of the sum-of-digits function.
A note on univoque self-sturmian numbers
We compare two sets of (infinite) binary sequences whose suffixes satisfy extremal conditions: one occurs when studying iterations of unimodal continuous maps from the unit interval into itself, but it also characterizes univoque real numbers; the other is a disguised version of the set of characteristic sturmian sequences. As a corollary to our study we obtain that a real number in is univoque and self-sturmian if and only if the -expansion of is of the form , where is a characteristic...
A note on univoque self-Sturmian numbers
We compare two sets of (infinite) binary sequences whose suffixes satisfy extremal conditions: one occurs when studying iterations of unimodal continuous maps from the unit interval into itself, but it also characterizes univoque real numbers; the other is a disguised version of the set of characteristic Sturmian sequences. As a corollary to our study we obtain that a real number β in (1,2) is univoque and self-Sturmian if and only if the β-expansion of 1 is of the form 1v, where v is a characteristic...
A polynomial inequality generalising an integer inequality.
A propos du théorème de Cassels-Schmidt concernant de nombres normaux
A recursive definition of -ary addition without carry
Let be a prime number. In this paper we prove that the addition in -ary without carry admits a recursive definition like in the already known cases and .
A result on the digits of aⁿ
A self-similar tiling generated by the minimal Pisot number
A Summation Formula Related to the Binary Digits.