On a Class of Densities of Sets of Positive Integers
نویسنده
چکیده
A method proposed by R. Alexander in his paper published in Acta Arithmetica XII (1967) enables to obtain various densities of set of positive integers, including asymptotic and logarithmic ones. In our paper some properties of the above mentioned densities are studied and certain earlier results on the asymptotic and logarithmic density are strengthened. Introduction and notations In what follows we assume that cn > 0 (n = 1, 2, . . . ) and ∞ ∑ n=1 cn = +∞. If A ⊆ N, we put
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تاریخ انتشار 2003