The Limit Distribution of the Middle Prime Factors of an Integer
The Limit Distribution of the Middle Prime Factors of an Integer
复制标题
整数中素因数的极限分布
作者：
J. Koninck;N. Doyon;Vincent Ouellet
将整数n≥2记为n = p1 1 p2···p αk k，其中p1 < p2 <···< pk为其质因数，对于任意实数β∈(0,1)，我们定义n > 1的β定位质因数为p(β)(n):= pmax（1,bβ(k+1)c）。我们得到了p(β)(n)的极限分布。关键词：中间素数因子，分布函数
Writing an integer n ≥ 2 as n = p1 1 p2 · · · p αk k where p1 < p2 < · · · < pk are its prime factors, for any real β ∈ (0, 1), we define the β-positioned prime factor of n > 1 as p(β)(n) := pmax(1,bβ(k+1)c). We obtain the limit distribution of p(β)(n). Mathematics Subject Classification: 11K16, 11N37 Keys words and phrases: Middle prime factors, distribution function