Sets of positive integers with prescribed values of densities

Year, pages: 2002, 67 - 78

\NoBlackBoxes Two generalizations of a theorem in [STRAUCH, O.—TÓTH, J. T.: Asymptotic density of $A \subset \Bbb N$ and density of the ratio set $R(A)$, Acta Arith. 87 (1998), 67–78] are presented in the paper. A set with prescribed lower and upper asymptotic and logarithmic densities is constructed for every possible values. Also a set with prescribed lower and upper densities with respect to a general function under some conditions is constructed.

Mišík, L. 2002. Sets of positive integers with prescribed values of densities. In Mathematica Slovaca, vol. 52, no.3, pp. 67-78. 0139-9918.

Mišík, L. (2002). Sets of positive integers with prescribed values of densities. Mathematica Slovaca, 52(3), 67-78. 0139-9918.