高斯域上离散数列短区间加权的Erdös-Kac定理
Erdös-Kac Theorem of Short Interval Weighting of Discrete Series on Gaussian Domain
DOI: 10.12677/pm.2026.161007, PDF,   
作者: 石云智：青岛大学数学与统计学院，山东 青岛
关键词: Selberg-Delange方法；Erdös-Kac定理；短区间；Selberg-Delange Method； Erdös-Kac Theorem； Short Interval
摘要: 设K是高斯域，aK(n)是 ℤ[ i ] 中范数为n的非零整理想的个数。本文建立了高斯域上离散数列短区间上以 a K ( n 2 ) l ( l∈ ℤ + ) 加权的Erdös-Kac型定理，将使用推广的Selberg-Delange方法来研究此定理。
Abstract: The Gaussian domain is the number of non-zero integer ideals in the middle norm. This article has established a high. The Erdös-Kac type theorem, which is weighted by N on the short interval of discrete sequences on the Squain, will use the generalized. The Selberg-Delange method is used to study this theorem.
文章引用：石云智. 高斯域上离散数列短区间加权的Erdös-Kac定理[J]. 理论数学, 2026, 16(1): 48-58. https://doi.org/10.12677/pm.2026.161007

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