Asymptotic density of A⊂ ℕ and density of the ratio set R(A)
Oto Strauch ; János T. Tóth
Acta Arithmetica, Tome 84 (1998), p. 67-78 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:207205
@article{bwmeta1.element.bwnjournal-article-aav87i1p67bwm,
     author = {Oto Strauch and J\'anos T. T\'oth},
     title = {Asymptotic density of A[?] N and density of the ratio set R(A)},
     journal = {Acta Arithmetica},
     volume = {84},
     year = {1998},
     pages = {67-78},
     zbl = {0923.11027},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav87i1p67bwm}
}
Oto Strauch; János T. Tóth. Asymptotic density of A⊂ ℕ and density of the ratio set R(A). Acta Arithmetica, Tome 84 (1998) pp. 67-78. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav87i1p67bwm/

[000] [1] J. Bukor and J. T. Tóth, On accumulation points of ratio sets of positive integers, Amer. Math. Monthly 103 (1996), 502-504. | Zbl 0857.11004

[001] [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. | Zbl 0939.11005

[002] [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. | Zbl 0978.11003

[003] [4] W. Klotz, Generalization of some theorems on sets of multiplies and primitive sequences, Acta Arith. 32 (1977), 15-26. | Zbl 0308.10048

[004] [5] L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, Wiley, New York, 1974. | Zbl 0281.10001

[005] [6] T. Šalát, On ratio sets of sets of natural numbers, Acta Arith. 15 (1969), 273-278; Corrigendum, Acta Arith.. 16 (1969), 103. | Zbl 0177.07001

[006] [7] W. Sierpi/nski, Elementary Theory of Numbers, PWN, Warszawa, 1964.