广义酉除数和函数在函数域上的均值
The Average Value of Generalized Unitary Divisor Sum Function in Function Fields
DOI: 10.12677/PM.2021.116137, PDF,  被引量   
作者: 牛 威：青岛大学数学与统计学院，山东 青岛
关键词: 函数域；广义酉除数和函数；均值；Function Fields； Generalized Unitary Divisor Sum Function； Average Value
摘要: 对任意正整数n，若d|n且(d,n/d)=1，就称d是n的酉除数。本文考虑了函数域上的广义酉除数和函数 的均值，得到其渐近公式。
Abstract: For any positive integer n, we say d is a unitary divisor of n, if d|n and (d,n/d)=1. In this paper, we consider the average value of the generalized unitary divisor sum function in function fields, and obtain its asymptotic formula.
文章引用：牛威. 广义酉除数和函数在函数域上的均值[J]. 理论数学, 2021, 11(6): 1242-1249. https://doi.org/10.12677/PM.2021.116137

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