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短区间上的Erd?s-Kac定理
Weighted Erd?s-Kac Theorem in Short Intervals

DOI: 10.12677/pm.2025.154116, PP. 127-137

Keywords: Euler函数,Erd?s-Kac定理,短区间
Euler Function
, Erd?s-Kac Theorem, Short Intervals

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Abstract:

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。
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.

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