ArticleOriginal scientific text

Title

Asymptotic density of A⊂ ℕ and density of the ratio set R(A)

Authors 1, 2

Affiliations

  1. Mathematical Institute of the Slovak Academy of Sciences, Štefánikova 49, SK-814 73 Bratislava, Slovakia
  2. Department of Mathematics of the Faculty of Natural Sciences, Constantine the Philosopher University in Nitra, Tr. A. Hlinku 1, SK-949 74 Nitra, Slovakia

Keywords

positive integers, subset, ratio set, asymptotic density

Bibliography

  1. J. Bukor and J. T. Tóth, On accumulation points of ratio sets of positive integers, Amer. Math. Monthly 103 (1996), 502-504.
  2. J. Bukor, P. Erdős, T. Šalát and J. T. Tóth, Ratio sets of sets of positive numbers and a class of decomposition of the set ℕ, Math. Slovaca 47 (1997), 517-526.
  3. J. Bukor, T. Šalát and J. T. Tóth, Remarks on R-density of sets of numbers, Tatra Mt. Math. Publ. 11 (1997), 159-165.
  4. W. Klotz, Generalization of some theorems on sets of multiplies and primitive sequences, Acta Arith. 32 (1977), 15-26.
  5. L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, Wiley, New York, 1974.
  6. T. Šalát, On ratio sets of sets of natural numbers, Acta Arith. 15 (1969), 273-278; Corrigendum, Acta Arith.. 16 (1969), 103.
  7. W. Sierpi/nski, Elementary Theory of Numbers, PWN, Warszawa, 1964.
Pages:
67-78
Main language of publication
English
Received
1998-01-27
Accepted
1998-07-31
Published
1998
Exact and natural sciences