On the probability that integers chosen according to the binomial distribution are relative prime
On the probability that n and f(n) are relatively prime
On the probability that n and g(n) are relatively prime
On the random character of fundamental constant expansions.
On the range of fractional parts {ξ(p/q)ⁿ}
On the real roots of generalized Thue-Morse polynomials
On the set .
On the set of divisors of an integer.
On the sets of uniqueness of a distribution function of {ξ(p/q)ⁿ}
On the size of prime factors of integers
On the speed of convergence of the Oppenheim series
On the Star-Discrepancy of Generalized Hammersley Sequences in Two Dimensions.
On the statistical properties of finite continued fractions.
On the structure of quadratic congruential sequences.
On the sums of continued fractions
On the theorem of Gauss-Kusmin-Lévy and a Frobenius-type theorem for function spaces
On the theorem of Jarník and Besicovitch
On the Thue-Morse measure
On the topology of polynomials with bounded integer coefficients
For a real number and a positive integer , let . In this paper, we show that is dense in if and only if and is not a Pisot number. This completes several previous results and answers an open question raised by Erdös, Joó and Komornik [8].
On the topology of sums in powers of an algebraic number