标题： 贝urling-Malliavin密度与渐近密度之间的联系 显示英文标题

标题： On the connection between the Beurling-Malliavin density and the asymptotic density

摘要： 我们从数论的角度研究Beurling-Malliavin密度的概念。 我们证明了Beurling-Malliavin密度与上渐近密度之间的普遍关系；我们确定了一类序列，其中两种密度相等；此类序列包含算术级数。 最后，通过Beurling-Malliavin密度的另一种定义，我们研究了与渐近密度的联系，针对另一类序列，这类序列再次推广了算术级数。 显示英文摘要

摘要： We study the notion of Beurling-Malliavin density from the point of view of Number Theory. We prove a general relation between the Beurling-Malliavin density and the upper asymptotic density; we identify a class of sequences for which the two densities coincide; this class contains the arithmetic progressions. Last, by means of an alternative definition of Beurling-Malliavin density, we study the connection with the asymptotic density for another kind of sequences that again generalizes the arithmentic progressions.