B₂[∞]-sequences of square numbers
Beatty sequences and multiplicative number theory
Bemerkung zu einer Anwendung des Bertrandschen Postulats in der Zahlentheorie.
Binomials transformation formulae for scaled Fibonacci numbers
The aim of the paper is to present the binomial transformation formulae of Fibonacci numbers scaled by complex multipliers. Many of these new and nontrivial relations follow from the fundamental properties of the so-called delta-Fibonacci numbers defined by Wituła and Słota. The paper contains some original relations connecting the values of delta-Fibonacci numbers with the respective values of Chebyshev polynomials of the first and second kind.
Bohr local properties of
Bounds for the 3x+1 problem using difference inequalities
Bounds for the Kolakoski sequence.
Bounds on ternary cyclotomic coefficients
Büchi Sequences in Local Fields and Local Rings
We prove that there exist infinite Büchi i sequences in some local rings and local fields, with the exception of the ring of p-adic integers. In there are only finite but arbitrarily long Büchi sequences.
Buck's measure density and sets of positive integers containing arithmetic progression