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

Acta Arithmetica

Volumn 87, Issue 1, 1998, Pages 67-78

  Strauch, Oto ^a   Tóth, János T ^b  

^a INSTITUTE OF CHEMISTRY   (Slovakia)

^b The Philosopher University in Nitra Geoinformatics and Regional Development   (Slovakia)

Author keywords

Asymptotic density; Positive integers; Ratio set; Subset

Indexed keywords

EID: 0032326015     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-87-1-67-78     Document Type: Article

References (8)

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. Erdos, 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, ibid. 16 (1969), 103.
7. T. Šalát, On ratio sets of sets of natural numbers, Acta Arith. 15 (1969), 273-278; Corrigendum, ibid. 16 (1969), 103.
8. W. Sierpiński, Elementary Theory of Numbers, PWN, Warszawa, 1964.