短区间上权为dk (n)的ErdO¨ s-Kac型定理
An ErdO¨ s-Kac Type Theorem in Short Intervals Weighted by dk (n)
摘要: 设dk (n)为k重除数函数。本文证明了一个短区间上权为dk (n)的Erdös-Kac型定理，并证明了其中的余项估计是最优的。这推广了K. Liu和J. Wu最近的一个结果。
Abstract: Let dk (n) be the k-fold divisor function. In this paper, we prove a weighted Erdös-Kac type theo-rem with weight dk (n) in short intervals. This generalizes a recent result of K. Liu and J. Wu.
文章引用：仝晓菲. 短区间上权为dk (n)的ErdO¨ s-Kac型定理[J]. 理论数学, 2019, 9(9): 1082-1093. https://doi.org/10.12677/PM.2019.99133

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