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

• Autorzy: Oto Strauch , János T. Tóth
• Języki publikacji: EN

Słowa kluczowe

EN

positive integers; subset; ratio set; asymptotic density

Kategorie tematyczne

• 11B05: Density, gaps, topology

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998-1999
• Tom: 87
• Numer: 1
• Strony: 67-78

Daty

wydano

1998

otrzymano

1998-01-27

poprawiono

1998-07-31

Twórcy

autor

Oto Strauch

• Mathematical Institute of the Slovak Academy of Sciences, Štefánikova 49, SK-814 73 Bratislava, Slovakia

autor

János T. Tóth

• Department of Mathematics of the Faculty of Natural Sciences, Constantine the Philosopher University in Nitra, Tr. A. Hlinku 1, SK-949 74 Nitra, Slovakia

Bibliografia

• [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.