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

Acta Arithmetica (1998)

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

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top## How to cite

topOto 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

top- [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] 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] 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] W. Klotz, Generalization of some theorems on sets of multiplies and primitive sequences, Acta Arith. 32 (1977), 15-26. Zbl0308.10048
- [5] L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, Wiley, New York, 1974. Zbl0281.10001
- [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] W. Sierpi/nski, Elementary Theory of Numbers, PWN, Warszawa, 1964.

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