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

Oto Strauch; János T. Tóth

Acta Arithmetica (1998)

  • Volume: 87, Issue: 1, page 67-78
  • ISSN: 0065-1036

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Oto Strauch, and János T. Tóth. "Asymptotic density of A⊂ ℕ and density of the ratio set R(A)." Acta Arithmetica 87.1 (1998): 67-78. <http://eudml.org/doc/207205>.

@article{OtoStrauch1998,
author = {Oto Strauch, János T. Tóth},
journal = {Acta Arithmetica},
keywords = {positive integers; subset; ratio set; asymptotic density; ratio sets},
language = {eng},
number = {1},
pages = {67-78},
title = {Asymptotic density of A⊂ ℕ and density of the ratio set R(A)},
url = {http://eudml.org/doc/207205},
volume = {87},
year = {1998},
}

TY - JOUR
AU - Oto Strauch
AU - János T. Tóth
TI - Asymptotic density of A⊂ ℕ and density of the ratio set R(A)
JO - Acta Arithmetica
PY - 1998
VL - 87
IS - 1
SP - 67
EP - 78
LA - eng
KW - positive integers; subset; ratio set; asymptotic density; ratio sets
UR - http://eudml.org/doc/207205
ER -

References

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  1. [1] J. Bukor and J. T. Tóth, On accumulation points of ratio sets of positive integers, Amer. Math. Monthly 103 (1996), 502-504. Zbl0857.11004
  2. [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. Zbl0939.11005
  3. [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. Zbl0978.11003
  4. [4] W. Klotz, Generalization of some theorems on sets of multiplies and primitive sequences, Acta Arith. 32 (1977), 15-26. Zbl0308.10048
  5. [5] L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, Wiley, New York, 1974. Zbl0281.10001
  6. [6] T. Šalát, On ratio sets of sets of natural numbers, Acta Arith. 15 (1969), 273-278; Corrigendum, Acta Arith.. 16 (1969), 103. Zbl0177.07001
  7. [7] W. Sierpi/nski, Elementary Theory of Numbers, PWN, Warszawa, 1964. 

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