短区间上的Erdös-Kac定理
Weighted Erdös-Kac Theorem in Short Intervals
DOI: 10.12677/pm.2025.154116, PDF,   
作者: 刘新颖：青岛大学数学与统计学院，山东 青岛
关键词: Euler函数；Erdös-Kac定理；短区间；Euler Function； Erdös-Kac Theorem； Short Intervals
摘要: 设 φ( n ) 是Euler函数，本文给出了短区间上算术序列的Erds-Kac型定理，其中该算术序列与 φ( n ) 分布有关。
Abstract: Assuming φ( n ) is an Euler function, this article provides the Erds-Kac type theorem for arithmetic sequences on short intervals, where the arithmetic sequence is related to the Euler function’s distribution.
文章引用：刘新颖. 短区间上的Erdös-Kac定理[J]. 理论数学, 2025, 15(4): 127-137. https://doi.org/10.12677/pm.2025.154116

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